Metrics for Data.Number.Erf:$cinvnormcdf from erf-2.0.0.0, A

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze302.0ms (1.9%)

Memory

6.6MiB live, 163.6MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.8%	0.2%	0%	0%	0%	0
0%	0%	99.8%	0.2%	0%	0%	0%	1
0%	0%	99.8%	0.2%	0%	0%	0%	2
0%	0%	99.8%	0.2%	0%	0%	0%	3
50%	49.9%	49.9%	0.2%	0%	0%	0%	4
50%	49.9%	49.9%	0.2%	0%	0%	0%	5
50%	49.9%	49.9%	0.2%	0%	0%	0%	6
50%	49.9%	49.9%	0.2%	0%	0%	0%	7
66.7%	49.9%	25%	0.2%	0%	25%	0%	8
66.7%	49.9%	25%	0.2%	0%	25%	0%	9
66.7%	49.9%	25%	0.2%	0%	25%	0%	10
66.7%	49.9%	25%	0.2%	0%	25%	0%	11
80%	49.9%	12.5%	0.2%	0%	37.4%	0%	12

Compiler

Compiled 19 to 17 computations (10.5% saved)

sample2.5s (15.6%)

Memory

-1.2MiB live, 2 569.9MiB allocated

Samples

1.5s	8 256×	0	valid
406.0ms	2 124×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 1.4s

ival-mult: 822.0ms (57.7% of total)

ival-sqrt: 202.0ms (14.2% of total)

ival-exp: 191.0ms (13.4% of total)

ival-sub: 114.0ms (8% of total)

ival-div: 70.0ms (4.9% of total)

exact: 12.0ms (0.8% of total)

ival-true: 9.0ms (0.6% of total)

ival-assert: 5.0ms (0.4% of total)

Bogosity

explain221.0ms (1.4%)

Memory

25.4MiB live, 308.6MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
2	-	-	`(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))))`
0	-	-	`(exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))`
0	-	-	`t`
0	-	-	`(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)`
0	-	-	`(/.f64 (*.f64 t t) #s(literal 2 binary64))`
0	-	-	`z`
0	-	-	`(*.f64 x #s(literal 1/2 binary64))`
0	-	-	`(sqrt.f64 (*.f64 z #s(literal 2 binary64)))`
0	-	-	`(*.f64 t t)`
0	-	-	`#s(literal 2 binary64)`
0	-	-	`y`
0	-	-	`(*.f64 z #s(literal 2 binary64))`
0	-	-	`(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))`
0	-	-	`#s(literal 1/2 binary64)`
0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`*.f64`	`(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))))`	*uo**	2	0
↳	`(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))`	underflow	2
↳	`(exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))`	overflow	134
↳	`(/.f64 (*.f64 t t) #s(literal 2 binary64))`	overflow	67
↳	`(*.f64 t t)`	overflow	67

Confusion

	Predicted +	Predicted -
+	2	0
-	0	254

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	2	0	0
-	0	0	254

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	254
1	2

Total Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	1	0	0
-	0	0	0

Precision?

1.0

Recall?

1.0

Samples

98.0ms

512×

valid

Compiler

Compiled 145 to 49 computations (66.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 54.0ms

ival-mult: 40.0ms (73.5% of total)

ival-exp: 4.0ms (7.3% of total)

ival-sqrt: 4.0ms (7.3% of total)

ival-div: 3.0ms (5.5% of total)

ival-sub: 2.0ms (3.7% of total)

ival-true: 1.0ms (1.8% of total)

exact: 1.0ms (1.8% of total)

ival-assert: 0.0ms (0% of total)

preprocess117.0ms (0.7%)

Memory

-4.2MiB live, 113.1MiB allocated

Algorithm

1×	egg-herbie

Rules

1 466×	`times-frac`
1 444×	`unsub-neg`
1 344×	`lower-fma.f64`
1 344×	`lower-fma.f32`
934×	`distribute-lft-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	72	232
1	192	226
2	495	224
3	1536	224
4	4035	224
5	6477	224
0	15	17
0	24	16
1	36	16
2	58	16
3	115	16
4	246	16
5	375	16
6	507	16
7	817	16
8	1505	16
9	1943	16
10	2083	16
11	2101	16
12	2101	16
13	2121	16
14	2129	16
15	2129	16
0	2129	16

Stop Event

1×	iter limit
1×	saturated
1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))))

Outputs

(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))))

(*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) x y) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) (neg.f64 (pow.f64 (sqrt.f64 (exp.f64 t)) t)))

Symmetry

(abs t)

Compiler

Compiled 17 to 15 computations (11.8% saved)

eval0.0ms (0%)

Memory: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 0 to 4 computations (-∞% saved)

prune1.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.1%	(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))))

Compiler

Compiled 17 to 15 computations (11.8% saved)

simplify75.0ms (0.5%)

Memory

7.3MiB live, 48.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(*.f64 x #s(literal 1/2 binary64))
cost-diff	0	(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
cost-diff	0	(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
cost-diff	0	(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))))

Rules

1 344×	`lower-fma.f64`
1 344×	`lower-fma.f32`
922×	`lower-*.f32`
912×	`lower-*.f64`
418×	`associate-r`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	62
0	24	60
1	36	60
2	58	60
3	115	60
4	246	60
5	375	60
6	507	60
7	817	60
8	1505	60
9	1943	60
10	2083	60
11	2101	60
12	2101	60
13	2121	60
14	2129	60
15	2129	60
0	2129	60

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))))
(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(*.f64 x #s(literal 1/2 binary64))
x
#s(literal 1/2 binary64)
y
(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
(*.f64 z #s(literal 2 binary64))
z
#s(literal 2 binary64)
(exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))
(/.f64 (*.f64 t t) #s(literal 2 binary64))
(*.f64 t t)
t

Outputs
(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))))
(.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) x y) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) (neg.f64 (pow.f64 (sqrt.f64 (exp.f64 t)) t)))
(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
(.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) z)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))
(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(-.f64 (*.f64 #s(literal 1/2 binary64) x) y)
(*.f64 x #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) x)
x
#s(literal 1/2 binary64)
y
(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
(sqrt.f64 (*.f64 #s(literal 2 binary64) z))
(*.f64 z #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) z)
z
#s(literal 2 binary64)
(exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))
(pow.f64 (sqrt.f64 (exp.f64 t)) t)
(/.f64 (*.f64 t t) #s(literal 2 binary64))
(*.f64 t t)
t

localize112.0ms (0.7%)

Memory

-5.3MiB live, 72.9MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))
accuracy	0.01171875	(/.f64 (*.f64 t t) #s(literal 2 binary64))
accuracy	0.21875	(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
accuracy	0.5078083716604116	(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))))

Samples

103.0ms

256×

valid

Compiler

Compiled 64 to 17 computations (73.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 52.0ms

ival-mult: 45.0ms (86.9% of total)

ival-div: 2.0ms (3.9% of total)

ival-exp: 2.0ms (3.9% of total)

ival-sqrt: 2.0ms (3.9% of total)

ival-sub: 1.0ms (1.9% of total)

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

series108.0ms (0.7%)

Memory

-20.3MiB live, 59.0MiB allocated

Counts

6 → 144

Calls

Call 1

Inputs
#s(alt (.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (.f64 t t) #s(literal 2 binary64)))) (patch (.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (.f64 t t) #s(literal 2 binary64)))) #<representation binary64>) () ())
#s(alt (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (patch (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #<representation binary64>) () ())
#s(alt (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (patch (-.f64 (.f64 x #s(literal 1/2 binary64)) y) #<representation binary64>) () ())
#s(alt (.f64 x #s(literal 1/2 binary64)) (patch (.f64 x #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 (.f64 t t) #s(literal 2 binary64)) (patch (/.f64 (.f64 t t) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (exp.f64 (/.f64 (.f64 t t) #s(literal 2 binary64))) (patch (exp.f64 (/.f64 (.f64 t t) #s(literal 2 binary64))) #<representation binary64>) () ())

Outputs
#s(alt (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (taylor 0 t) (#s(alt (.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (.f64 t t) #s(literal 2 binary64)))) (patch (.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (.f64 t t) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (taylor 0 t) (#s(alt (.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (.f64 t t) #s(literal 2 binary64)))) (patch (.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (.f64 t t) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (* (pow t 2) (+ (* 1/8 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))))))) (taylor 0 t) (#s(alt (.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (.f64 t t) #s(literal 2 binary64)))) (patch (.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (.f64 t t) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (* (pow t 2) (+ (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (* (pow t 2) (+ (* 1/48 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* 1/8 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))))))))) (taylor 0 t) (#s(alt (.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (.f64 t t) #s(literal 2 binary64)))) (patch (.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (.f64 t t) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (pow t 2)) (taylor 0 t) (#s(alt (/.f64 (.f64 t t) #s(literal 2 binary64)) (patch (/.f64 (.f64 t t) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (pow t 2)) (taylor 0 t) (#s(alt (/.f64 (.f64 t t) #s(literal 2 binary64)) (patch (/.f64 (.f64 t t) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (pow t 2)) (taylor 0 t) (#s(alt (/.f64 (.f64 t t) #s(literal 2 binary64)) (patch (/.f64 (.f64 t t) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (pow t 2)) (taylor 0 t) (#s(alt (/.f64 (.f64 t t) #s(literal 2 binary64)) (patch (/.f64 (.f64 t t) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 t) (#s(alt (exp.f64 (/.f64 (.f64 t t) #s(literal 2 binary64))) (patch (exp.f64 (/.f64 (.f64 t t) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 1/2 (pow t 2))) (taylor 0 t) (#s(alt (exp.f64 (/.f64 (.f64 t t) #s(literal 2 binary64))) (patch (exp.f64 (/.f64 (.f64 t t) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2))))) (taylor 0 t) (#s(alt (exp.f64 (/.f64 (.f64 t t) #s(literal 2 binary64))) (patch (exp.f64 (/.f64 (.f64 t t) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))) (taylor 0 t) (#s(alt (exp.f64 (/.f64 (.f64 t t) #s(literal 2 binary64))) (patch (exp.f64 (/.f64 (.f64 t t) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y)))) (taylor inf t) (#s(alt (.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (.f64 t t) #s(literal 2 binary64)))) (patch (.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (.f64 t t) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y)))) (taylor inf t) (#s(alt (.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (.f64 t t) #s(literal 2 binary64)))) (patch (.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (.f64 t t) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y)))) (taylor inf t) (#s(alt (.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (.f64 t t) #s(literal 2 binary64)))) (patch (.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (.f64 t t) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y)))) (taylor inf t) (#s(alt (.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (.f64 t t) #s(literal 2 binary64)))) (patch (.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (.f64 t t) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (pow t 2)) (taylor inf t) (#s(alt (/.f64 (.f64 t t) #s(literal 2 binary64)) (patch (/.f64 (.f64 t t) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (pow t 2)) (taylor inf t) (#s(alt (/.f64 (.f64 t t) #s(literal 2 binary64)) (patch (/.f64 (.f64 t t) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (pow t 2)) (taylor inf t) (#s(alt (/.f64 (.f64 t t) #s(literal 2 binary64)) (patch (/.f64 (.f64 t t) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (pow t 2)) (taylor inf t) (#s(alt (/.f64 (.f64 t t) #s(literal 2 binary64)) (patch (/.f64 (.f64 t t) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (exp (* 1/2 (pow t 2))) (taylor inf t) (#s(alt (exp.f64 (/.f64 (.f64 t t) #s(literal 2 binary64))) (patch (exp.f64 (/.f64 (.f64 t t) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (exp (* 1/2 (pow t 2))) (taylor inf t) (#s(alt (exp.f64 (/.f64 (.f64 t t) #s(literal 2 binary64))) (patch (exp.f64 (/.f64 (.f64 t t) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (exp (* 1/2 (pow t 2))) (taylor inf t) (#s(alt (exp.f64 (/.f64 (.f64 t t) #s(literal 2 binary64))) (patch (exp.f64 (/.f64 (.f64 t t) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (exp (* 1/2 (pow t 2))) (taylor inf t) (#s(alt (exp.f64 (/.f64 (.f64 t t) #s(literal 2 binary64))) (patch (exp.f64 (/.f64 (.f64 t t) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y)))) (taylor -inf t) (#s(alt (.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (.f64 t t) #s(literal 2 binary64)))) (patch (.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (.f64 t t) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* x (+ (* -1/2 (* (sqrt z) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt z))))) (taylor -inf x) (#s(alt (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (patch (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1/2 (* (sqrt z) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt z))))) (taylor -inf x) (#s(alt (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (patch (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 x) (taylor -inf x) (#s(alt (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (patch (-.f64 (.f64 x #s(literal 1/2 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ y x) 1/2))) (taylor -inf x) (#s(alt (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (patch (-.f64 (.f64 x #s(literal 1/2 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ y x) 1/2))) (taylor -inf x) (#s(alt (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (patch (-.f64 (.f64 x #s(literal 1/2 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ y x) 1/2))) (taylor -inf x) (#s(alt (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (patch (-.f64 (.f64 x #s(literal 1/2 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 1/2 x) (taylor -inf x) (#s(alt (.f64 x #s(literal 1/2 binary64)) (patch (.f64 x #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 x) (taylor -inf x) (#s(alt (.f64 x #s(literal 1/2 binary64)) (patch (.f64 x #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 x) (taylor -inf x) (#s(alt (.f64 x #s(literal 1/2 binary64)) (patch (.f64 x #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 x) (taylor -inf x) (#s(alt (.f64 x #s(literal 1/2 binary64)) (patch (.f64 x #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())

Calls

12 calls:

Time	Variable		Point	Expression
42.0ms	t	@	-inf	((* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (- (* x 1/2) y) (sqrt (* z 2))) (- (* x 1/2) y) (* x 1/2) (/ (* t t) 2) (exp (/ (* t t) 2)))
2.0ms	y	@	inf	((* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (- (* x 1/2) y) (sqrt (* z 2))) (- (* x 1/2) y) (* x 1/2) (/ (* t t) 2) (exp (/ (* t t) 2)))
2.0ms	z	@	-inf	((* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (- (* x 1/2) y) (sqrt (* z 2))) (- (* x 1/2) y) (* x 1/2) (/ (* t t) 2) (exp (/ (* t t) 2)))
2.0ms	z	@	0	((* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (- (* x 1/2) y) (sqrt (* z 2))) (- (* x 1/2) y) (* x 1/2) (/ (* t t) 2) (exp (/ (* t t) 2)))
2.0ms	x	@	-inf	((* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (- (* x 1/2) y) (sqrt (* z 2))) (- (* x 1/2) y) (* x 1/2) (/ (* t t) 2) (exp (/ (* t t) 2)))

simplify220.0ms (1.4%)

Memory

-11.9MiB live, 310.7MiB allocated

Algorithm

1×	egg-herbie

Rules

18 902×	`lower-fma.f64`
18 902×	`lower-fma.f32`
6 248×	`lower-*.f64`
6 248×	`lower-*.f32`
4 670×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	133	1631
1	446	1628
2	1554	1535
3	4441	1532
0	8859	1520

Stop Event

1×	iter limit
1×	node limit

Counts

144 → 144

Calls

Call 1

Inputs
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))
(+ (* 1/2 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))))
(+ (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (* (pow t 2) (+ (* 1/8 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))))))
(+ (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (* (pow t 2) (+ (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (* (pow t 2) (+ (* 1/48 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* 1/8 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))))))))
(* 1/2 (pow t 2))
(* 1/2 (pow t 2))
(* 1/2 (pow t 2))
(* 1/2 (pow t 2))
1
(+ 1 (* 1/2 (pow t 2)))
(+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2)))))
(+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2)))))))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(* 1/2 (pow t 2))
(* 1/2 (pow t 2))
(* 1/2 (pow t 2))
(* 1/2 (pow t 2))
(exp (* 1/2 (pow t 2)))
(exp (* 1/2 (pow t 2)))
(exp (* 1/2 (pow t 2)))
(exp (* 1/2 (pow t 2)))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(* 1/2 (pow t 2))
(* 1/2 (pow t 2))
(* 1/2 (pow t 2))
(* 1/2 (pow t 2))
(exp (* 1/2 (pow t 2)))
(exp (* 1/2 (pow t 2)))
(exp (* 1/2 (pow t 2)))
(exp (* 1/2 (pow t 2)))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))
(* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y))))))
(* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y))))))
(* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y))))))
(* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y))))))
(* -1 (* (sqrt z) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y)))))
(* -1 (* (sqrt z) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y)))))
(* -1 (* (sqrt z) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y)))))
(* -1 (* (sqrt z) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y)))))
(* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))
(+ (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))))
(+ (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))))
(+ (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))))
(* 1/2 (* (* x (sqrt 2)) (sqrt z)))
(+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z))))
(+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z))))
(+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z))))
(* 1/2 x)
(+ (* -1 y) (* 1/2 x))
(+ (* -1 y) (* 1/2 x))
(+ (* -1 y) (* 1/2 x))
(* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))
(* y (+ (* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* 1/2 (* (/ (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) y) (sqrt z)))))
(* y (+ (* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* 1/2 (* (/ (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) y) (sqrt z)))))
(* y (+ (* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* 1/2 (* (/ (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) y) (sqrt z)))))
(* -1 (* (* y (sqrt 2)) (sqrt z)))
(* y (+ (* -1 (* (sqrt z) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt z)))))
(* y (+ (* -1 (* (sqrt z) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt z)))))
(* y (+ (* -1 (* (sqrt z) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt z)))))
(* -1 y)
(* y (- (* 1/2 (/ x y)) 1))
(* y (- (* 1/2 (/ x y)) 1))
(* y (- (* 1/2 (/ x y)) 1))
(* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))
(* -1 (* y (+ (* -1/2 (* (/ (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) y) (sqrt z))) (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2))))))
(* -1 (* y (+ (* -1/2 (* (/ (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) y) (sqrt z))) (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2))))))
(* -1 (* y (+ (* -1/2 (* (/ (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) y) (sqrt z))) (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2))))))
(* -1 (* (* y (sqrt 2)) (sqrt z)))
(* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt z))) (* (sqrt z) (sqrt 2)))))
(* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt z))) (* (sqrt z) (sqrt 2)))))
(* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt z))) (* (sqrt z) (sqrt 2)))))
(* -1 y)
(* -1 (* y (+ 1 (* -1/2 (/ x y)))))
(* -1 (* y (+ 1 (* -1/2 (/ x y)))))
(* -1 (* y (+ 1 (* -1/2 (/ x y)))))
(* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))
(+ (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))))
(+ (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))))
(+ (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))))
(* -1 (* (* y (sqrt 2)) (sqrt z)))
(+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z))))
(+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z))))
(+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z))))
(* -1 y)
(- (* 1/2 x) y)
(- (* 1/2 x) y)
(- (* 1/2 x) y)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))
(* x (+ (* -1 (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z))) (* 1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2))))))
(* x (+ (* -1 (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z))) (* 1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2))))))
(* x (+ (* -1 (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z))) (* 1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2))))))
(* 1/2 (* (* x (sqrt 2)) (sqrt z)))
(* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt z))) (* 1/2 (* (sqrt z) (sqrt 2)))))
(* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt z))) (* 1/2 (* (sqrt z) (sqrt 2)))))
(* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt z))) (* 1/2 (* (sqrt z) (sqrt 2)))))
(* 1/2 x)
(* x (+ 1/2 (* -1 (/ y x))))
(* x (+ 1/2 (* -1 (/ y x))))
(* x (+ 1/2 (* -1 (/ y x))))
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))
(* -1 (* x (+ (* -1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z)))))
(* -1 (* x (+ (* -1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z)))))
(* -1 (* x (+ (* -1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z)))))
(* 1/2 (* (* x (sqrt 2)) (sqrt z)))
(* -1 (* x (+ (* -1/2 (* (sqrt z) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt z)))))
(* -1 (* x (+ (* -1/2 (* (sqrt z) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt z)))))
(* -1 (* x (+ (* -1/2 (* (sqrt z) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt z)))))
(* 1/2 x)
(* -1 (* x (- (/ y x) 1/2)))
(* -1 (* x (- (/ y x) 1/2)))
(* -1 (* x (- (/ y x) 1/2)))
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)

Outputs
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))
(.f64 (.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z))
(+ (* 1/2 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))))
(.f64 (.f64 (fma.f64 (.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 z))
(+ (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (* (pow t 2) (+ (* 1/8 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))))))
(.f64 (sqrt.f64 z) (fma.f64 (.f64 t t) (.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal 1/8 binary64) (.f64 t t) #s(literal 1/2 binary64))) (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64)))))
(+ (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (* (pow t 2) (+ (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (* (pow t 2) (+ (* 1/48 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* 1/8 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))))))))
(fma.f64 (pow.f64 t #s(literal 4 binary64)) (.f64 (.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) (fma.f64 #s(literal 1/48 binary64) (.f64 t t) #s(literal 1/8 binary64))) (.f64 (.f64 (fma.f64 (.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 z)))
(* 1/2 (pow t 2))
(.f64 (.f64 t t) #s(literal 1/2 binary64))
(* 1/2 (pow t 2))
(.f64 (.f64 t t) #s(literal 1/2 binary64))
(* 1/2 (pow t 2))
(.f64 (.f64 t t) #s(literal 1/2 binary64))
(* 1/2 (pow t 2))
(.f64 (.f64 t t) #s(literal 1/2 binary64))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 (pow t 2)))
(fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))
(+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2)))))
(fma.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 t t) #s(literal 1/2 binary64)) (.f64 t t) #s(literal 1 binary64))
(+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2)))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 t t) #s(literal 1/8 binary64)) (.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 z)) (.f64 (sqrt.f64 (pow.f64 (exp.f64 t) t)) (sqrt.f64 #s(literal 2 binary64))))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 z)) (.f64 (sqrt.f64 (pow.f64 (exp.f64 t) t)) (sqrt.f64 #s(literal 2 binary64))))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 z)) (.f64 (sqrt.f64 (pow.f64 (exp.f64 t) t)) (sqrt.f64 #s(literal 2 binary64))))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 z)) (.f64 (sqrt.f64 (pow.f64 (exp.f64 t) t)) (sqrt.f64 #s(literal 2 binary64))))
(* 1/2 (pow t 2))
(.f64 (.f64 t t) #s(literal 1/2 binary64))
(* 1/2 (pow t 2))
(.f64 (.f64 t t) #s(literal 1/2 binary64))
(* 1/2 (pow t 2))
(.f64 (.f64 t t) #s(literal 1/2 binary64))
(* 1/2 (pow t 2))
(.f64 (.f64 t t) #s(literal 1/2 binary64))
(exp (* 1/2 (pow t 2)))
(sqrt.f64 (pow.f64 (exp.f64 t) t))
(exp (* 1/2 (pow t 2)))
(sqrt.f64 (pow.f64 (exp.f64 t) t))
(exp (* 1/2 (pow t 2)))
(sqrt.f64 (pow.f64 (exp.f64 t) t))
(exp (* 1/2 (pow t 2)))
(sqrt.f64 (pow.f64 (exp.f64 t) t))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 z)) (.f64 (sqrt.f64 (pow.f64 (exp.f64 t) t)) (sqrt.f64 #s(literal 2 binary64))))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 z)) (.f64 (sqrt.f64 (pow.f64 (exp.f64 t) t)) (sqrt.f64 #s(literal 2 binary64))))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 z)) (.f64 (sqrt.f64 (pow.f64 (exp.f64 t) t)) (sqrt.f64 #s(literal 2 binary64))))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 z)) (.f64 (sqrt.f64 (pow.f64 (exp.f64 t) t)) (sqrt.f64 #s(literal 2 binary64))))
(* 1/2 (pow t 2))
(.f64 (.f64 t t) #s(literal 1/2 binary64))
(* 1/2 (pow t 2))
(.f64 (.f64 t t) #s(literal 1/2 binary64))
(* 1/2 (pow t 2))
(.f64 (.f64 t t) #s(literal 1/2 binary64))
(* 1/2 (pow t 2))
(.f64 (.f64 t t) #s(literal 1/2 binary64))
(exp (* 1/2 (pow t 2)))
(sqrt.f64 (pow.f64 (exp.f64 t) t))
(exp (* 1/2 (pow t 2)))
(sqrt.f64 (pow.f64 (exp.f64 t) t))
(exp (* 1/2 (pow t 2)))
(sqrt.f64 (pow.f64 (exp.f64 t) t))
(exp (* 1/2 (pow t 2)))
(sqrt.f64 (pow.f64 (exp.f64 t) t))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 z)) (.f64 (sqrt.f64 (pow.f64 (exp.f64 t) t)) (sqrt.f64 #s(literal 2 binary64))))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 z)) (.f64 (sqrt.f64 (pow.f64 (exp.f64 t) t)) (sqrt.f64 #s(literal 2 binary64))))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
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(* 1/2 x)
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(* 1/2 x)
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(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 z)) (.f64 (sqrt.f64 (pow.f64 (exp.f64 t) t)) (sqrt.f64 #s(literal 2 binary64))))
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(* 1/2 x)
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(* 1/2 x)
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(* 1/2 x)
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(* 1/2 x)
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(* 1/2 x)
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(* 1/2 x)
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(* 1/2 x)
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rewrite403.0ms (2.5%)

Memory

48.7MiB live, 277.1MiB allocated

Rules

6 922×	`lower-fma.f64`
6 922×	`lower-fma.f32`
4 292×	`lower-/.f32`
4 290×	`lower-/.f64`
3 846×	`lower-*.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	46
0	24	44
1	63	43
2	285	43
3	2343	43
0	8617	43

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Counts

6 → 452

Calls

Call 1

Inputs
(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))))
(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(*.f64 x #s(literal 1/2 binary64))
(/.f64 (*.f64 t t) #s(literal 2 binary64))
(exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))

Outputs
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eval83.0ms (0.5%)

Memory: -21.9MiB live, 136.4MiB allocated
Compiler: Compiled 18 318 to 1 823 computations (90% saved)

prune67.0ms (0.4%)

Memory

-17.3MiB live, 68.9MiB allocated

Pruning

16 alts after pruning (16 fresh and 0 done)

	Pruned	Kept	Total
New	580	16	596
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	581	16	597

Accuracy

100.0%

Counts

597 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	77.8%	(.f64 (/.f64 (.f64 (fma.f64 (neg.f64 y) y (pow.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64))) (sqrt.f64 (.f64 #s(literal 2 binary64) z))) (fma.f64 #s(literal 1/2 binary64) x y)) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))))
	98.9%	(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) #s(literal -1 binary64)) (sqrt.f64 (.f64 #s(literal 2 binary64) z)))) (exp.f64 (/.f64 (.f64 t t) #s(literal 2 binary64))))
	99.0%	(.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) z)) (-.f64 (.f64 #s(literal 1/2 binary64) x) y)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))))
▶	99.9%	(.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 t) t)) z)))
	23.7%	(.f64 (.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) z)) (fma.f64 (.f64 #s(literal 1/4 binary64) x) x (.f64 (fma.f64 #s(literal 1/2 binary64) x y) y)))) (exp.f64 (/.f64 (.f64 t t) #s(literal 2 binary64))))
	98.8%	(.f64 (.f64 (pow.f64 (.f64 #s(literal 2 binary64) z) #s(literal 1/4 binary64)) (.f64 (pow.f64 (.f64 #s(literal 2 binary64) z) #s(literal 1/4 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) x) y))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))))
	99.1%	(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (exp.f64 (.f64 (.f64 t t) #s(literal 1/2 binary64))))
	94.6%	(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 t t) #s(literal 1/8 binary64)) (.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))))
▶	89.0%	(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 t t) #s(literal 1/2 binary64)) (.f64 t t) #s(literal 1 binary64))))
	80.6%	(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))))
▶	51.9%	(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
	63.3%	(.f64 #s(approx ( (- (* x 1/2) y) (sqrt (* z 2))) (.f64 (.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) x) (sqrt.f64 #s(literal 2 binary64)))) (exp.f64 (/.f64 (.f64 t t) #s(literal 2 binary64))))
▶	60.1%	(.f64 #s(approx ( (- (* x 1/2) y) (sqrt (* z 2))) (.f64 (.f64 (neg.f64 (sqrt.f64 z)) y) (sqrt.f64 #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))))
	82.6%	#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (.f64 (.f64 (fma.f64 (.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 z)))
	51.7%	#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (.f64 (.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)))
	91.7%	#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (.f64 (sqrt.f64 z) (fma.f64 (.f64 t t) (.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal 1/8 binary64) (.f64 t t) #s(literal 1/2 binary64))) (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))))))

Compiler

Compiled 666 to 546 computations (18% saved)

simplify131.0ms (0.8%)

Memory

39.2MiB live, 148.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f64 (neg.f64 y) y (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)))
cost-diff	0	(.f64 (fma.f64 (neg.f64 y) y (pow.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))
cost-diff	0	(.f64 (/.f64 (.f64 (fma.f64 (neg.f64 y) y (pow.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64))) (sqrt.f64 (.f64 #s(literal 2 binary64) z))) (fma.f64 #s(literal 1/2 binary64) x y)) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))))
cost-diff	7872	(/.f64 (.f64 (fma.f64 (neg.f64 y) y (pow.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) (fma.f64 #s(literal 1/2 binary64) x y))
cost-diff	0	(*.f64 (neg.f64 (sqrt.f64 z)) y)
cost-diff	0	(.f64 (.f64 (neg.f64 (sqrt.f64 z)) y) (sqrt.f64 #s(literal 2 binary64)))
cost-diff	0	#s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (.f64 (.f64 (neg.f64 (sqrt.f64 z)) y) (sqrt.f64 #s(literal 2 binary64))))
cost-diff	0	(.f64 #s(approx ( (- (* x 1/2) y) (sqrt (* z 2))) (.f64 (.f64 (neg.f64 (sqrt.f64 z)) y) (sqrt.f64 #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))))
cost-diff	0	(*.f64 x #s(literal 1/2 binary64))
cost-diff	0	(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
cost-diff	0	(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
cost-diff	0	(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 t t) #s(literal 1/2 binary64)) (.f64 t t) #s(literal 1 binary64))))
cost-diff	0	(*.f64 x #s(literal 1/2 binary64))
cost-diff	0	(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
cost-diff	0	(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
cost-diff	0	(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
cost-diff	0	(sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 t) t)) z))
cost-diff	0	(*.f64 #s(literal 1/2 binary64) x)
cost-diff	0	(-.f64 (*.f64 #s(literal 1/2 binary64) x) y)
cost-diff	0	(.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 t) t)) z)))

Rules

7 458×	`lower-fma.f32`
7 450×	`lower-fma.f64`
5 156×	`lower-*.f32`
5 124×	`lower-*.f64`
1 852×	`lower--.f32`

Iterations

Useful iterations: 6 (0.0ms)

Iter	Nodes	Cost
0	54	408
0	93	391
1	152	391
2	268	391
3	612	391
4	1487	391
5	3520	384
6	4640	382
7	6997	382
0	8010	382

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Calls

Call 1

Inputs
(.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 t) t)) z)))
(-.f64 (*.f64 #s(literal 1/2 binary64) x) y)
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
x
y
(sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 t) t)) z))
(.f64 (.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 t) t)) z)
(*.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 t) t))
#s(literal 2 binary64)
(pow.f64 (exp.f64 t) t)
(exp.f64 t)
t
z
(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(*.f64 x #s(literal 1/2 binary64))
x
#s(literal 1/2 binary64)
y
(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
(*.f64 z #s(literal 2 binary64))
z
#s(literal 2 binary64)
#s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))
#s(literal 1 binary64)
(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 t t) #s(literal 1/2 binary64)) (.f64 t t) #s(literal 1 binary64))))
(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(*.f64 x #s(literal 1/2 binary64))
x
#s(literal 1/2 binary64)
y
(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
(*.f64 z #s(literal 2 binary64))
z
#s(literal 2 binary64)
#s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 t t) #s(literal 1/2 binary64)) (.f64 t t) #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 t t) #s(literal 1/2 binary64)) (.f64 t t) #s(literal 1 binary64))
(fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64))
#s(literal 1/8 binary64)
(*.f64 t t)
t
#s(literal 1 binary64)
(.f64 #s(approx ( (- (* x 1/2) y) (sqrt (* z 2))) (.f64 (.f64 (neg.f64 (sqrt.f64 z)) y) (sqrt.f64 #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))))
#s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (.f64 (.f64 (neg.f64 (sqrt.f64 z)) y) (sqrt.f64 #s(literal 2 binary64))))
(.f64 (.f64 (neg.f64 (sqrt.f64 z)) y) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (neg.f64 (sqrt.f64 z)) y)
(neg.f64 (sqrt.f64 z))
(sqrt.f64 z)
z
y
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))
(/.f64 (*.f64 t t) #s(literal 2 binary64))
(*.f64 t t)
t
(.f64 (/.f64 (.f64 (fma.f64 (neg.f64 y) y (pow.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64))) (sqrt.f64 (.f64 #s(literal 2 binary64) z))) (fma.f64 #s(literal 1/2 binary64) x y)) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))))
(/.f64 (.f64 (fma.f64 (neg.f64 y) y (pow.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) (fma.f64 #s(literal 1/2 binary64) x y))
(.f64 (fma.f64 (neg.f64 y) y (pow.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))
(fma.f64 (neg.f64 y) y (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)))
(neg.f64 y)
y
(pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64))
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
x
#s(literal 2 binary64)
(sqrt.f64 (*.f64 #s(literal 2 binary64) z))
(*.f64 #s(literal 2 binary64) z)
z
(fma.f64 #s(literal 1/2 binary64) x y)
(exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))
(/.f64 (*.f64 t t) #s(literal 2 binary64))
(*.f64 t t)
t

Outputs
(.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 t) t)) z)))
(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z (.f64 (pow.f64 (exp.f64 t) t) #s(literal 2 binary64)))))
(-.f64 (*.f64 #s(literal 1/2 binary64) x) y)
(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 x #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
x
y
(sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 t) t)) z))
(sqrt.f64 (.f64 z (.f64 (pow.f64 (exp.f64 t) t) #s(literal 2 binary64))))
(.f64 (.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 t) t)) z)
(.f64 z (.f64 (pow.f64 (exp.f64 t) t) #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 t) t))
(*.f64 (pow.f64 (exp.f64 t) t) #s(literal 2 binary64))
#s(literal 2 binary64)
(pow.f64 (exp.f64 t) t)
(exp.f64 t)
t
z
(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
(.f64 #s(approx (exp (/ ( t t) 2)) #s(literal 1 binary64)) (.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
(.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y))
(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(*.f64 x #s(literal 1/2 binary64))
x
#s(literal 1/2 binary64)
y
(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
(*.f64 z #s(literal 2 binary64))
z
#s(literal 2 binary64)
#s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))
#s(literal 1 binary64)
(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 t t) #s(literal 1/2 binary64)) (.f64 t t) #s(literal 1 binary64))))
(.f64 (.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (.f64 t t) #s(literal 1 binary64))) (-.f64 (.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (.f64 z #s(literal 2 binary64))))
(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
(.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y))
(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(*.f64 x #s(literal 1/2 binary64))
x
#s(literal 1/2 binary64)
y
(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
(*.f64 z #s(literal 2 binary64))
z
#s(literal 2 binary64)
#s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 t t) #s(literal 1/2 binary64)) (.f64 t t) #s(literal 1 binary64)))
#s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (.f64 t t) #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 t t) #s(literal 1/2 binary64)) (.f64 t t) #s(literal 1 binary64))
(fma.f64 (fma.f64 (.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (.f64 t t) #s(literal 1 binary64))
(fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64))
(fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))
#s(literal 1/8 binary64)
(*.f64 t t)
t
#s(literal 1 binary64)
(.f64 #s(approx ( (- (* x 1/2) y) (sqrt (* z 2))) (.f64 (.f64 (neg.f64 (sqrt.f64 z)) y) (sqrt.f64 #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))))
(.f64 (sqrt.f64 (pow.f64 (exp.f64 t) t)) #s(approx ( (- (* x 1/2) y) (sqrt (* z 2))) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) y) (neg.f64 (sqrt.f64 z)))))
#s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (.f64 (.f64 (neg.f64 (sqrt.f64 z)) y) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) y) (neg.f64 (sqrt.f64 z))))
(.f64 (.f64 (neg.f64 (sqrt.f64 z)) y) (sqrt.f64 #s(literal 2 binary64)))
(.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) y) (neg.f64 (sqrt.f64 z)))
(*.f64 (neg.f64 (sqrt.f64 z)) y)
(*.f64 (neg.f64 y) (sqrt.f64 z))
(neg.f64 (sqrt.f64 z))
(sqrt.f64 z)
z
y
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))
(sqrt.f64 (pow.f64 (exp.f64 t) t))
(/.f64 (*.f64 t t) #s(literal 2 binary64))
(*.f64 t t)
t
(.f64 (/.f64 (.f64 (fma.f64 (neg.f64 y) y (pow.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64))) (sqrt.f64 (.f64 #s(literal 2 binary64) z))) (fma.f64 #s(literal 1/2 binary64) x y)) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))))
(.f64 (.f64 (sqrt.f64 (pow.f64 (exp.f64 t) t)) (fma.f64 #s(literal -1/2 binary64) x y)) (neg.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64)))))
(/.f64 (.f64 (fma.f64 (neg.f64 y) y (pow.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) (fma.f64 #s(literal 1/2 binary64) x y))
(.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y))
(.f64 (fma.f64 (neg.f64 y) y (pow.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))
(.f64 (fma.f64 (neg.f64 y) y (pow.f64 (.f64 x #s(literal 1/2 binary64)) #s(literal 2 binary64))) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
(fma.f64 (neg.f64 y) y (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)))
(fma.f64 (neg.f64 y) y (pow.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(neg.f64 y)
y
(pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64))
(pow.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 2 binary64))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 x #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
x
#s(literal 2 binary64)
(sqrt.f64 (*.f64 #s(literal 2 binary64) z))
(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) z)
(*.f64 z #s(literal 2 binary64))
z
(fma.f64 #s(literal 1/2 binary64) x y)
(fma.f64 x #s(literal 1/2 binary64) y)
(exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))
(sqrt.f64 (pow.f64 (exp.f64 t) t))
(/.f64 (*.f64 t t) #s(literal 2 binary64))
(*.f64 t t)
t

localize189.0ms (1.2%)

Memory

-23.6MiB live, 239.0MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.5078083716604116	(.f64 (/.f64 (.f64 (fma.f64 (neg.f64 y) y (pow.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64))) (sqrt.f64 (.f64 #s(literal 2 binary64) z))) (fma.f64 #s(literal 1/2 binary64) x y)) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))))
accuracy	2.499972476055602	(fma.f64 (neg.f64 y) y (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)))
accuracy	3.202104916244387	(.f64 (fma.f64 (neg.f64 y) y (pow.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))
accuracy	18.397597606007242	(/.f64 (.f64 (fma.f64 (neg.f64 y) y (pow.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) (fma.f64 #s(literal 1/2 binary64) x y))
accuracy	0.203125	(*.f64 (neg.f64 (sqrt.f64 z)) y)
accuracy	0.41310502930532605	(.f64 (.f64 (neg.f64 (sqrt.f64 z)) y) (sqrt.f64 #s(literal 2 binary64)))
accuracy	0.5078083716604116	(.f64 #s(approx ( (- (* x 1/2) y) (sqrt (* z 2))) (.f64 (.f64 (neg.f64 (sqrt.f64 z)) y) (sqrt.f64 #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))))
accuracy	31.43987667327555	#s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (.f64 (.f64 (neg.f64 (sqrt.f64 z)) y) (sqrt.f64 #s(literal 2 binary64))))
accuracy	0.05078125	(fma.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 t t) #s(literal 1/2 binary64)) (.f64 t t) #s(literal 1 binary64))
accuracy	0.21875	(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
accuracy	0.5078083716604116	(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 t t) #s(literal 1/2 binary64)) (.f64 t t) #s(literal 1 binary64))))
accuracy	8.412886140426826	#s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 t t) #s(literal 1/2 binary64)) (.f64 t t) #s(literal 1 binary64)))
accuracy	0	(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
accuracy	0.21875	(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
accuracy	0.5078083716604116	(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
accuracy	32.90196826644707	#s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))
accuracy	0	(exp.f64 t)
accuracy	0.0078125	(.f64 (.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 t) t)) z)
accuracy	0.0078125	(sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 t) t)) z))
accuracy	0.09375	(.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 t) t)) z)))

Samples

121.0ms

256×

valid

Compiler

Compiled 374 to 46 computations (87.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 80.0ms

ival-mult: 23.0ms (28.9% of total)

ival-pow2: 20.0ms (25.1% of total)

ival-sqrt: 10.0ms (12.6% of total)

ival-pow: 9.0ms (11.3% of total)

ival-add: 4.0ms (5% of total)

ival-exp: 4.0ms (5% of total)

ival-div: 3.0ms (3.8% of total)

ival-sub: 2.0ms (2.5% of total)

ival-neg: 2.0ms (2.5% of total)

exact: 1.0ms (1.3% of total)

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

series278.0ms (1.7%)

Memory

4.6MiB live, 235.3MiB allocated

Counts

23 → 636

Calls

Call 1

Inputs
#s(alt (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 t) t)) z))) (patch (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 t) t)) z))) #<representation binary64>) () ())
#s(alt (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (patch (-.f64 (.f64 #s(literal 1/2 binary64) x) y) #<representation binary64>) () ())
#s(alt (.f64 #s(literal 1/2 binary64) x) (patch (.f64 #s(literal 1/2 binary64) x) #<representation binary64>) () ())
#s(alt (sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 t) t)) z)) (patch (sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 t) t)) z)) #<representation binary64>) () ())
#s(alt (.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) (patch (.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (patch (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #<representation binary64>) () ())
#s(alt (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (patch (-.f64 (.f64 x #s(literal 1/2 binary64)) y) #<representation binary64>) () ())
#s(alt (.f64 x #s(literal 1/2 binary64)) (patch (.f64 x #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt (.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 t t) #s(literal 1/2 binary64)) (.f64 t t) #s(literal 1 binary64)))) (patch (.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 t t) #s(literal 1/2 binary64)) (.f64 t t) #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt (.f64 #s(approx ( (- (* x 1/2) y) (sqrt (* z 2))) (.f64 (.f64 (neg.f64 (sqrt.f64 z)) y) (sqrt.f64 #s(literal 2 binary64)))) (exp.f64 (/.f64 (.f64 t t) #s(literal 2 binary64)))) (patch (.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (.f64 (.f64 (neg.f64 (sqrt.f64 z)) y) (sqrt.f64 #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (.f64 (.f64 (neg.f64 (sqrt.f64 z)) y) (sqrt.f64 #s(literal 2 binary64)))) (patch #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (.f64 (.f64 (neg.f64 (sqrt.f64 z)) y) (sqrt.f64 #s(literal 2 binary64)))) #<representation binary64>) () ())
#s(alt (.f64 (.f64 (neg.f64 (sqrt.f64 z)) y) (sqrt.f64 #s(literal 2 binary64))) (patch (.f64 (.f64 (neg.f64 (sqrt.f64 z)) y) (sqrt.f64 #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (.f64 (neg.f64 (sqrt.f64 z)) y) (patch (.f64 (neg.f64 (sqrt.f64 z)) y) #<representation binary64>) () ())
#s(alt (/.f64 (.f64 (fma.f64 (neg.f64 y) y (pow.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64))) (sqrt.f64 (.f64 #s(literal 2 binary64) z))) (fma.f64 #s(literal 1/2 binary64) x y)) (patch (/.f64 (.f64 (fma.f64 (neg.f64 y) y (pow.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64))) (sqrt.f64 (.f64 #s(literal 2 binary64) z))) (fma.f64 #s(literal 1/2 binary64) x y)) #<representation binary64>) () ())
#s(alt (.f64 (/.f64 (.f64 (fma.f64 (neg.f64 y) y (pow.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64))) (sqrt.f64 (.f64 #s(literal 2 binary64) z))) (fma.f64 #s(literal 1/2 binary64) x y)) (exp.f64 (/.f64 (.f64 t t) #s(literal 2 binary64)))) (patch (.f64 (/.f64 (.f64 (fma.f64 (neg.f64 y) y (pow.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64))) (sqrt.f64 (.f64 #s(literal 2 binary64) z))) (fma.f64 #s(literal 1/2 binary64) x y)) (exp.f64 (/.f64 (.f64 t t) #s(literal 2 binary64)))) #<representation binary64>) () ())
#s(alt (.f64 (fma.f64 (neg.f64 y) y (pow.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64))) (sqrt.f64 (.f64 #s(literal 2 binary64) z))) (patch (.f64 (fma.f64 (neg.f64 y) y (pow.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64))) (sqrt.f64 (.f64 #s(literal 2 binary64) z))) #<representation binary64>) () ())
#s(alt (fma.f64 (neg.f64 y) y (pow.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64))) (patch (fma.f64 (neg.f64 y) y (pow.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (.f64 (.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 t) t)) z) (patch (.f64 (.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 t) t)) z) #<representation binary64>) () ())
#s(alt (exp.f64 t) (patch (exp.f64 t) #<representation binary64>) () ())
#s(alt #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) (patch #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (sqrt.f64 (.f64 z #s(literal 2 binary64))) (patch (sqrt.f64 (.f64 z #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 t t) #s(literal 1/2 binary64)) (.f64 t t) #s(literal 1 binary64))) (patch #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 t t) #s(literal 1/2 binary64)) (.f64 t t) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 t t) #s(literal 1/2 binary64)) (.f64 t t) #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 t t) #s(literal 1/2 binary64)) (.f64 t t) #s(literal 1 binary64)) #<representation binary64>) () ())

Outputs
#s(alt (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (taylor 0 t) (#s(alt (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 t) t)) z))) (patch (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 t) t)) z))) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (taylor 0 t) (#s(alt (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 t) t)) z))) (patch (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 t) t)) z))) #<representation binary64>) () ())) ())
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#s(alt (* (pow x 2) (+ 1/4 (* -1 (/ (pow y 2) (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 (neg.f64 y) y (pow.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64))) (patch (fma.f64 (neg.f64 y) y (pow.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/4 (* -1 (/ (pow y 2) (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 (neg.f64 y) y (pow.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64))) (patch (fma.f64 (neg.f64 y) y (pow.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64))) #<representation binary64>) () ())) ())

Calls

12 calls:

Time	Variable		Point	Expression
170.0ms	z	@	0	((* (- (* 1/2 x) y) (sqrt (* (* 2 (pow (exp t) t)) z))) (- (* 1/2 x) y) (* 1/2 x) (sqrt (* (* 2 (pow (exp t) t)) z)) (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (- (* x 1/2) y) (sqrt (* z 2))) (- (* x 1/2) y) (* x 1/2) (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (- (* x 1/2) y) (sqrt (* z 2))) (* (* (neg (sqrt z)) y) (sqrt 2)) (* (neg (sqrt z)) y) (/ (* (+ (* (neg y) y) (pow (* 1/2 x) 2)) (sqrt (* 2 z))) (+ (* 1/2 x) y)) (* (/ (* (+ (* (neg y) y) (pow (* 1/2 x) 2)) (sqrt (* 2 z))) (+ (* 1/2 x) y)) (exp (/ (* t t) 2))) (* (+ (* (neg y) y) (pow (* 1/2 x) 2)) (sqrt (* 2 z))) (+ (* (neg y) y) (pow (* 1/2 x) 2)) (* (* 2 (pow (exp t) t)) z) (exp t) (exp (/ (* t t) 2)) (sqrt (* z 2)) (exp (/ (* t t) 2)) (+ (* (+ (* 1/8 (* t t)) 1/2) (* t t)) 1))
17.0ms	z	@	-inf	((* (- (* 1/2 x) y) (sqrt (* (* 2 (pow (exp t) t)) z))) (- (* 1/2 x) y) (* 1/2 x) (sqrt (* (* 2 (pow (exp t) t)) z)) (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (- (* x 1/2) y) (sqrt (* z 2))) (- (* x 1/2) y) (* x 1/2) (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (- (* x 1/2) y) (sqrt (* z 2))) (* (* (neg (sqrt z)) y) (sqrt 2)) (* (neg (sqrt z)) y) (/ (* (+ (* (neg y) y) (pow (* 1/2 x) 2)) (sqrt (* 2 z))) (+ (* 1/2 x) y)) (* (/ (* (+ (* (neg y) y) (pow (* 1/2 x) 2)) (sqrt (* 2 z))) (+ (* 1/2 x) y)) (exp (/ (* t t) 2))) (* (+ (* (neg y) y) (pow (* 1/2 x) 2)) (sqrt (* 2 z))) (+ (* (neg y) y) (pow (* 1/2 x) 2)) (* (* 2 (pow (exp t) t)) z) (exp t) (exp (/ (* t t) 2)) (sqrt (* z 2)) (exp (/ (* t t) 2)) (+ (* (+ (* 1/8 (* t t)) 1/2) (* t t)) 1))
12.0ms	z	@	inf	((* (- (* 1/2 x) y) (sqrt (* (* 2 (pow (exp t) t)) z))) (- (* 1/2 x) y) (* 1/2 x) (sqrt (* (* 2 (pow (exp t) t)) z)) (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (- (* x 1/2) y) (sqrt (* z 2))) (- (* x 1/2) y) (* x 1/2) (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (- (* x 1/2) y) (sqrt (* z 2))) (* (* (neg (sqrt z)) y) (sqrt 2)) (* (neg (sqrt z)) y) (/ (* (+ (* (neg y) y) (pow (* 1/2 x) 2)) (sqrt (* 2 z))) (+ (* 1/2 x) y)) (* (/ (* (+ (* (neg y) y) (pow (* 1/2 x) 2)) (sqrt (* 2 z))) (+ (* 1/2 x) y)) (exp (/ (* t t) 2))) (* (+ (* (neg y) y) (pow (* 1/2 x) 2)) (sqrt (* 2 z))) (+ (* (neg y) y) (pow (* 1/2 x) 2)) (* (* 2 (pow (exp t) t)) z) (exp t) (exp (/ (* t t) 2)) (sqrt (* z 2)) (exp (/ (* t t) 2)) (+ (* (+ (* 1/8 (* t t)) 1/2) (* t t)) 1))
9.0ms	t	@	0	((* (- (* 1/2 x) y) (sqrt (* (* 2 (pow (exp t) t)) z))) (- (* 1/2 x) y) (* 1/2 x) (sqrt (* (* 2 (pow (exp t) t)) z)) (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (- (* x 1/2) y) (sqrt (* z 2))) (- (* x 1/2) y) (* x 1/2) (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (- (* x 1/2) y) (sqrt (* z 2))) (* (* (neg (sqrt z)) y) (sqrt 2)) (* (neg (sqrt z)) y) (/ (* (+ (* (neg y) y) (pow (* 1/2 x) 2)) (sqrt (* 2 z))) (+ (* 1/2 x) y)) (* (/ (* (+ (* (neg y) y) (pow (* 1/2 x) 2)) (sqrt (* 2 z))) (+ (* 1/2 x) y)) (exp (/ (* t t) 2))) (* (+ (* (neg y) y) (pow (* 1/2 x) 2)) (sqrt (* 2 z))) (+ (* (neg y) y) (pow (* 1/2 x) 2)) (* (* 2 (pow (exp t) t)) z) (exp t) (exp (/ (* t t) 2)) (sqrt (* z 2)) (exp (/ (* t t) 2)) (+ (* (+ (* 1/8 (* t t)) 1/2) (* t t)) 1))
7.0ms	y	@	-inf	((* (- (* 1/2 x) y) (sqrt (* (* 2 (pow (exp t) t)) z))) (- (* 1/2 x) y) (* 1/2 x) (sqrt (* (* 2 (pow (exp t) t)) z)) (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (- (* x 1/2) y) (sqrt (* z 2))) (- (* x 1/2) y) (* x 1/2) (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (- (* x 1/2) y) (sqrt (* z 2))) (* (* (neg (sqrt z)) y) (sqrt 2)) (* (neg (sqrt z)) y) (/ (* (+ (* (neg y) y) (pow (* 1/2 x) 2)) (sqrt (* 2 z))) (+ (* 1/2 x) y)) (* (/ (* (+ (* (neg y) y) (pow (* 1/2 x) 2)) (sqrt (* 2 z))) (+ (* 1/2 x) y)) (exp (/ (* t t) 2))) (* (+ (* (neg y) y) (pow (* 1/2 x) 2)) (sqrt (* 2 z))) (+ (* (neg y) y) (pow (* 1/2 x) 2)) (* (* 2 (pow (exp t) t)) z) (exp t) (exp (/ (* t t) 2)) (sqrt (* z 2)) (exp (/ (* t t) 2)) (+ (* (+ (* 1/8 (* t t)) 1/2) (* t t)) 1))

simplify256.0ms (1.6%)

Memory

-16.9MiB live, 219.0MiB allocated

Algorithm

1×	egg-herbie

Rules

12 306×	`lower-fma.f64`
12 306×	`lower-fma.f32`
8 272×	`lower-*.f64`
8 272×	`lower-*.f32`
2 500×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	333	10162
1	1128	9938
2	4086	9042
3	7874	9042
0	8168	8924

Stop Event

1×	iter limit
1×	node limit

Counts

636 → 636

Calls

Call 1

Inputs
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))
(+ (* 1/2 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))))
(+ (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (* (pow t 2) (+ (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (* 1/2 (* (* (pow t 2) (* (sqrt 2) (* (- (* 1/2 x) y) (- (* 1/2 z) (* 1/4 z))))) (sqrt (/ 1 z)))))))
(+ (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (* (pow t 2) (+ (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (* (pow t 2) (+ (* 1/2 (* (sqrt (/ 1 z)) (* (sqrt 2) (* (- (* 1/2 x) y) (- (* 1/2 z) (* 1/4 z)))))) (* 1/2 (* (* (pow t 2) (* (sqrt 2) (* (- (* 1/6 z) (* 1/2 (- (* 1/2 z) (* 1/4 z)))) (- (* 1/2 x) y)))) (sqrt (/ 1 z)))))))))
(* (sqrt z) (sqrt 2))
(+ (* 1/2 (* (* (pow t 2) (sqrt 2)) (sqrt z))) (* (sqrt z) (sqrt 2)))
(+ (* (sqrt z) (sqrt 2)) (* (pow t 2) (+ (* 1/2 (* (sqrt z) (sqrt 2))) (* 1/2 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 z) (* 1/4 z)))) (sqrt (/ 1 z)))))))
(+ (* (sqrt z) (sqrt 2)) (* (pow t 2) (+ (* 1/2 (* (sqrt z) (sqrt 2))) (* (pow t 2) (+ (* 1/2 (* (sqrt (/ 1 z)) (* (sqrt 2) (- (* 1/2 z) (* 1/4 z))))) (* 1/2 (* (* (pow t 2) (* (sqrt 2) (- (* 1/6 z) (* 1/2 (- (* 1/2 z) (* 1/4 z)))))) (sqrt (/ 1 z)))))))))
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))
(+ (* 1/2 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))))
(+ (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (* (pow t 2) (+ (* 1/8 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))))))
(+ (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (* (pow t 2) (+ (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (* (pow t 2) (+ (* 1/48 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* 1/8 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))))))))
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))
(+ (* 1/2 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))))
(+ (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (* (pow t 2) (+ (* 1/8 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))))))
(+ (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (* (pow t 2) (+ (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (* (pow t 2) (+ (* 1/48 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* 1/8 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))))))))
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))
(+ (* 1/2 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))))
(+ (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (* (pow t 2) (+ (* 1/8 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))))))
(+ (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (* (pow t 2) (+ (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (* (pow t 2) (+ (* 1/48 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* 1/8 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))))))))
(* (sqrt z) (/ (* (sqrt 2) (+ (* -1 (pow y 2)) (* 1/4 (pow x 2)))) (+ y (* 1/2 x))))
(+ (* 1/2 (* (/ (* (pow t 2) (* (sqrt 2) (+ (* -1 (pow y 2)) (* 1/4 (pow x 2))))) (+ y (* 1/2 x))) (sqrt z))) (* (sqrt z) (/ (* (sqrt 2) (+ (* -1 (pow y 2)) (* 1/4 (pow x 2)))) (+ y (* 1/2 x)))))
(+ (* (sqrt z) (/ (* (sqrt 2) (+ (* -1 (pow y 2)) (* 1/4 (pow x 2)))) (+ y (* 1/2 x)))) (* (pow t 2) (+ (* 1/8 (* (/ (* (pow t 2) (* (sqrt 2) (+ (* -1 (pow y 2)) (* 1/4 (pow x 2))))) (+ y (* 1/2 x))) (sqrt z))) (* 1/2 (* (sqrt z) (/ (* (sqrt 2) (+ (* -1 (pow y 2)) (* 1/4 (pow x 2)))) (+ y (* 1/2 x))))))))
(+ (* (sqrt z) (/ (* (sqrt 2) (+ (* -1 (pow y 2)) (* 1/4 (pow x 2)))) (+ y (* 1/2 x)))) (* (pow t 2) (+ (* 1/2 (* (sqrt z) (/ (* (sqrt 2) (+ (* -1 (pow y 2)) (* 1/4 (pow x 2)))) (+ y (* 1/2 x))))) (* (pow t 2) (+ (* 1/48 (* (/ (* (pow t 2) (* (sqrt 2) (+ (* -1 (pow y 2)) (* 1/4 (pow x 2))))) (+ y (* 1/2 x))) (sqrt z))) (* 1/8 (* (sqrt z) (/ (* (sqrt 2) (+ (* -1 (pow y 2)) (* 1/4 (pow x 2)))) (+ y (* 1/2 x))))))))))
(* 2 z)
(+ (* 2 z) (* 2 (* (pow t 2) z)))
(+ (* 2 z) (* (pow t 2) (+ (* 2 z) (* (pow t 2) z))))
(+ (* 2 z) (* (pow t 2) (+ (* 2 z) (* (pow t 2) (+ z (* 1/3 (* (pow t 2) z)))))))
1
(+ 1 t)
(+ 1 (* t (+ 1 (* 1/2 t))))
(+ 1 (* t (+ 1 (* t (+ 1/2 (* 1/6 t))))))
1
(+ 1 (* 1/2 (pow t 2)))
(+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2)))))
(+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2)))))))
1
(+ 1 (* 1/2 (pow t 2)))
(+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2)))))
(+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2)))))))
1
(+ 1 (* 1/2 (pow t 2)))
(+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2)))))
(+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2)))))
(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y)))
(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y)))
(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y)))
(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y)))
(* (sqrt (* z (exp (pow t 2)))) (sqrt 2))
(* (sqrt (* z (exp (pow t 2)))) (sqrt 2))
(* (sqrt (* z (exp (pow t 2)))) (sqrt 2))
(* (sqrt (* z (exp (pow t 2)))) (sqrt 2))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(* (sqrt z) (/ (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (+ (* -1 (pow y 2)) (* 1/4 (pow x 2))))) (+ y (* 1/2 x))))
(* (sqrt z) (/ (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (+ (* -1 (pow y 2)) (* 1/4 (pow x 2))))) (+ y (* 1/2 x))))
(* (sqrt z) (/ (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (+ (* -1 (pow y 2)) (* 1/4 (pow x 2))))) (+ y (* 1/2 x))))
(* (sqrt z) (/ (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (+ (* -1 (pow y 2)) (* 1/4 (pow x 2))))) (+ y (* 1/2 x))))
(* 2 (* z (exp (pow t 2))))
(* 2 (* z (exp (pow t 2))))
(* 2 (* z (exp (pow t 2))))
(* 2 (* z (exp (pow t 2))))
(exp t)
(exp t)
(exp t)
(exp t)
(exp (* 1/2 (pow t 2)))
(exp (* 1/2 (pow t 2)))
(exp (* 1/2 (pow t 2)))
(exp (* 1/2 (pow t 2)))
(exp (* 1/2 (pow t 2)))
(exp (* 1/2 (pow t 2)))
(exp (* 1/2 (pow t 2)))
(exp (* 1/2 (pow t 2)))
(* 1/8 (pow t 4))
(* (pow t 4) (+ 1/8 (* 1/2 (/ 1 (pow t 2)))))
(* (pow t 4) (+ 1/8 (+ (* 1/2 (/ 1 (pow t 2))) (/ 1 (pow t 4)))))
(* (pow t 4) (+ 1/8 (+ (* 1/2 (/ 1 (pow t 2))) (/ 1 (pow t 4)))))
(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y)))
(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y)))
(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y)))
(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y)))
(* (sqrt (* z (exp (pow t 2)))) (sqrt 2))
(* (sqrt (* z (exp (pow t 2)))) (sqrt 2))
(* (sqrt (* z (exp (pow t 2)))) (sqrt 2))
(* (sqrt (* z (exp (pow t 2)))) (sqrt 2))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(* (sqrt z) (/ (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (+ (* -1 (pow y 2)) (* 1/4 (pow x 2))))) (+ y (* 1/2 x))))
(* (sqrt z) (/ (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (+ (* -1 (pow y 2)) (* 1/4 (pow x 2))))) (+ y (* 1/2 x))))
(* (sqrt z) (/ (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (+ (* -1 (pow y 2)) (* 1/4 (pow x 2))))) (+ y (* 1/2 x))))
(* (sqrt z) (/ (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (+ (* -1 (pow y 2)) (* 1/4 (pow x 2))))) (+ y (* 1/2 x))))
(* 2 (* z (exp (pow t 2))))
(* 2 (* z (exp (pow t 2))))
(* 2 (* z (exp (pow t 2))))
(* 2 (* z (exp (pow t 2))))
(exp t)
(exp t)
(exp t)
(exp t)
(exp (* 1/2 (pow t 2)))
(exp (* 1/2 (pow t 2)))
(exp (* 1/2 (pow t 2)))
(exp (* 1/2 (pow t 2)))
(exp (* 1/2 (pow t 2)))
(exp (* 1/2 (pow t 2)))
(exp (* 1/2 (pow t 2)))
(exp (* 1/2 (pow t 2)))
(* 1/8 (pow t 4))
(* (pow t 4) (+ 1/8 (* 1/2 (/ 1 (pow t 2)))))
(* (pow t 4) (+ 1/8 (+ (* 1/2 (/ 1 (pow t 2))) (/ 1 (pow t 4)))))
(* (pow t 4) (+ 1/8 (+ (* 1/2 (/ 1 (pow t 2))) (/ 1 (pow t 4)))))
(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y)))
(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y)))
(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y)))
(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y)))
(* (sqrt (* z (exp (pow t 2)))) (sqrt 2))
(* (sqrt (* z (exp (pow t 2)))) (sqrt 2))
(* (sqrt (* z (exp (pow t 2)))) (sqrt 2))
(* (sqrt (* z (exp (pow t 2)))) (sqrt 2))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))
(* -1 (* (* y (sqrt 2)) (sqrt z)))
(* -1 (* (* y (sqrt 2)) (sqrt z)))
(* -1 (* (* y (sqrt 2)) (sqrt z)))
(* -1 (* (* y (sqrt 2)) (sqrt z)))
(* -1 (* y (sqrt z)))
(* -1 (* y (sqrt z)))
(* -1 (* y (sqrt z)))
(* -1 (* y (sqrt z)))
(* (sqrt z) (/ (* (sqrt 2) (+ (* -1 (pow y 2)) (* 1/4 (pow x 2)))) (+ y (* 1/2 x))))
(* (sqrt z) (/ (* (sqrt 2) (+ (* -1 (pow y 2)) (* 1/4 (pow x 2)))) (+ y (* 1/2 x))))
(* (sqrt z) (/ (* (sqrt 2) (+ (* -1 (pow y 2)) (* 1/4 (pow x 2)))) (+ y (* 1/2 x))))
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(* -1 (* y (+ (* -1/2 (* (/ (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) y) (sqrt z))) (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2))))))
(* -1 (* y (+ (* -1/2 (* (/ (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) y) (sqrt z))) (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2))))))
(* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))
(* -1 (* y (+ (* -1/2 (* (/ (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) y) (sqrt z))) (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2))))))
(* -1 (* y (+ (* -1/2 (* (/ (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) y) (sqrt z))) (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2))))))
(* -1 (* y (+ (* -1/2 (* (/ (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) y) (sqrt z))) (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2))))))
(* -1 (* (* y (sqrt 2)) (sqrt z)))
(* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt z))) (* (sqrt z) (sqrt 2)))))
(* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt z))) (* (sqrt z) (sqrt 2)))))
(* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt z))) (* (sqrt z) (sqrt 2)))))
(* -1 (* (* y (sqrt 2)) (sqrt z)))
(* -1 (* (* y (sqrt 2)) (sqrt z)))
(* -1 (* (* y (sqrt 2)) (sqrt z)))
(* -1 (* (* y (sqrt 2)) (sqrt z)))
(* -1 (* y (sqrt z)))
(* -1 (* y (sqrt z)))
(* -1 (* y (sqrt z)))
(* -1 (* y (sqrt z)))
(* -1 (* (* y (sqrt 2)) (sqrt z)))
(* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt z))) (* (sqrt z) (sqrt 2)))))
(* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt z))) (* (sqrt z) (sqrt 2)))))
(* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt z))) (* (sqrt z) (sqrt 2)))))
(* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))
(* -1 (* y (+ (* -1/2 (* (/ (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) y) (sqrt z))) (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2))))))
(* -1 (* y (+ (* -1/2 (* (/ (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) y) (sqrt z))) (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2))))))
(* -1 (* y (+ (* -1/2 (* (/ (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) y) (sqrt z))) (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2))))))
(* -1 (* (* (pow y 2) (sqrt 2)) (sqrt z)))
(* (pow y 2) (+ (* -1 (* (sqrt z) (sqrt 2))) (* 1/4 (* (/ (* (pow x 2) (sqrt 2)) (pow y 2)) (sqrt z)))))
(* (pow y 2) (+ (* -1 (* (sqrt z) (sqrt 2))) (* 1/4 (* (/ (* (pow x 2) (sqrt 2)) (pow y 2)) (sqrt z)))))
(* (pow y 2) (+ (* -1 (* (sqrt z) (sqrt 2))) (* 1/4 (* (/ (* (pow x 2) (sqrt 2)) (pow y 2)) (sqrt z)))))
(* -1 (pow y 2))
(* (pow y 2) (- (* 1/4 (/ (pow x 2) (pow y 2))) 1))
(* (pow y 2) (- (* 1/4 (/ (pow x 2) (pow y 2))) 1))
(* (pow y 2) (- (* 1/4 (/ (pow x 2) (pow y 2))) 1))
(* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2))))))
(+ (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2)))))))
(+ (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2)))))))
(+ (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2)))))))
(* -1 y)
(- (* 1/2 x) y)
(- (* 1/2 x) y)
(- (* 1/2 x) y)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))
(+ (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))))
(+ (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))))
(+ (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))))
(* -1 (* (* y (sqrt 2)) (sqrt z)))
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(+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z))))
(+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z))))
(* -1 y)
(- (* 1/2 x) y)
(- (* 1/2 x) y)
(- (* 1/2 x) y)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))
(+ (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))))
(+ (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))))
(+ (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))))
(* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))
(+ (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))))
(+ (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))))
(+ (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))))
(* -1 (* (* y (sqrt 2)) (sqrt z)))
(+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z))))
(+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z))))
(+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z))))
(* -1 (* (* y (sqrt 2)) (sqrt z)))
(+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z))))
(+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z))))
(+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z))))
(* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))
(+ (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))))
(+ (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))))
(+ (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))))
(* -1 (* (* (pow y 2) (sqrt 2)) (sqrt z)))
(+ (* -1 (* (* (pow y 2) (sqrt 2)) (sqrt z))) (* 1/4 (* (* (pow x 2) (sqrt 2)) (sqrt z))))
(+ (* -1 (* (* (pow y 2) (sqrt 2)) (sqrt z))) (* 1/4 (* (* (pow x 2) (sqrt 2)) (sqrt z))))
(+ (* -1 (* (* (pow y 2) (sqrt 2)) (sqrt z))) (* 1/4 (* (* (pow x 2) (sqrt 2)) (sqrt z))))
(* -1 (pow y 2))
(+ (* -1 (pow y 2)) (* 1/4 (pow x 2)))
(+ (* -1 (pow y 2)) (* 1/4 (pow x 2)))
(+ (* -1 (pow y 2)) (* 1/4 (pow x 2)))
(* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2))))))
(* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2)))))
(* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2)))))
(* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2)))))
(* 1/2 x)
(* x (+ 1/2 (* -1 (/ y x))))
(* x (+ 1/2 (* -1 (/ y x))))
(* x (+ 1/2 (* -1 (/ y x))))
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))
(* x (+ (* -1 (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z))) (* 1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2))))))
(* x (+ (* -1 (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z))) (* 1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2))))))
(* x (+ (* -1 (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z))) (* 1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2))))))
(* 1/2 (* (* x (sqrt 2)) (sqrt z)))
(* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt z))) (* 1/2 (* (sqrt z) (sqrt 2)))))
(* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt z))) (* 1/2 (* (sqrt z) (sqrt 2)))))
(* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt z))) (* 1/2 (* (sqrt z) (sqrt 2)))))
(* 1/2 x)
(* x (+ 1/2 (* -1 (/ y x))))
(* x (+ 1/2 (* -1 (/ y x))))
(* x (+ 1/2 (* -1 (/ y x))))
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))
(* x (+ (* -1 (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z))) (* 1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2))))))
(* x (+ (* -1 (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z))) (* 1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2))))))
(* x (+ (* -1 (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z))) (* 1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2))))))
(* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))
(* x (+ (* -1 (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z))) (* 1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2))))))
(* x (+ (* -1 (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z))) (* 1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2))))))
(* x (+ (* -1 (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z))) (* 1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2))))))
(* 1/2 (* (* x (sqrt 2)) (sqrt z)))
(* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt z))) (* 1/2 (* (sqrt z) (sqrt 2)))))
(* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt z))) (* 1/2 (* (sqrt z) (sqrt 2)))))
(* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt z))) (* 1/2 (* (sqrt z) (sqrt 2)))))
(* 1/2 (* (* x (sqrt 2)) (sqrt z)))
(* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt z))) (* 1/2 (* (sqrt z) (sqrt 2)))))
(* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt z))) (* 1/2 (* (sqrt z) (sqrt 2)))))
(* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt z))) (* 1/2 (* (sqrt z) (sqrt 2)))))
(* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))
(* x (+ (* -1 (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z))) (* 1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2))))))
(* x (+ (* -1 (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z))) (* 1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2))))))
(* x (+ (* -1 (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z))) (* 1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2))))))
(* 1/4 (* (* (pow x 2) (sqrt 2)) (sqrt z)))
(* (pow x 2) (+ (* -1 (* (/ (* (pow y 2) (sqrt 2)) (pow x 2)) (sqrt z))) (* 1/4 (* (sqrt z) (sqrt 2)))))
(* (pow x 2) (+ (* -1 (* (/ (* (pow y 2) (sqrt 2)) (pow x 2)) (sqrt z))) (* 1/4 (* (sqrt z) (sqrt 2)))))
(* (pow x 2) (+ (* -1 (* (/ (* (pow y 2) (sqrt 2)) (pow x 2)) (sqrt z))) (* 1/4 (* (sqrt z) (sqrt 2)))))
(* 1/4 (pow x 2))
(* (pow x 2) (+ 1/4 (* -1 (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1/4 (* -1 (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1/4 (* -1 (/ (pow y 2) (pow x 2)))))
(* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2))))))
(* -1 (* x (+ (* -1/2 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 2))))))))
(* -1 (* x (+ (* -1/2 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 2))))))))
(* -1 (* x (+ (* -1/2 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 2))))))))
(* 1/2 x)
(* -1 (* x (- (/ y x) 1/2)))
(* -1 (* x (- (/ y x) 1/2)))
(* -1 (* x (- (/ y x) 1/2)))
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))
(* -1 (* x (+ (* -1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z)))))
(* -1 (* x (+ (* -1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z)))))
(* -1 (* x (+ (* -1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z)))))
(* 1/2 (* (* x (sqrt 2)) (sqrt z)))
(* -1 (* x (+ (* -1/2 (* (sqrt z) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt z)))))
(* -1 (* x (+ (* -1/2 (* (sqrt z) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt z)))))
(* -1 (* x (+ (* -1/2 (* (sqrt z) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt z)))))
(* 1/2 x)
(* -1 (* x (- (/ y x) 1/2)))
(* -1 (* x (- (/ y x) 1/2)))
(* -1 (* x (- (/ y x) 1/2)))
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))
(* -1 (* x (+ (* -1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z)))))
(* -1 (* x (+ (* -1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z)))))
(* -1 (* x (+ (* -1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z)))))
(* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))
(* -1 (* x (+ (* -1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z)))))
(* -1 (* x (+ (* -1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z)))))
(* -1 (* x (+ (* -1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z)))))
(* 1/2 (* (* x (sqrt 2)) (sqrt z)))
(* -1 (* x (+ (* -1/2 (* (sqrt z) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt z)))))
(* -1 (* x (+ (* -1/2 (* (sqrt z) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt z)))))
(* -1 (* x (+ (* -1/2 (* (sqrt z) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt z)))))
(* 1/2 (* (* x (sqrt 2)) (sqrt z)))
(* -1 (* x (+ (* -1/2 (* (sqrt z) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt z)))))
(* -1 (* x (+ (* -1/2 (* (sqrt z) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt z)))))
(* -1 (* x (+ (* -1/2 (* (sqrt z) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt z)))))
(* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))
(* -1 (* x (+ (* -1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z)))))
(* -1 (* x (+ (* -1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z)))))
(* -1 (* x (+ (* -1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z)))))
(* 1/4 (* (* (pow x 2) (sqrt 2)) (sqrt z)))
(* (pow x 2) (+ (* -1 (* (/ (* (pow y 2) (sqrt 2)) (pow x 2)) (sqrt z))) (* 1/4 (* (sqrt z) (sqrt 2)))))
(* (pow x 2) (+ (* -1 (* (/ (* (pow y 2) (sqrt 2)) (pow x 2)) (sqrt z))) (* 1/4 (* (sqrt z) (sqrt 2)))))
(* (pow x 2) (+ (* -1 (* (/ (* (pow y 2) (sqrt 2)) (pow x 2)) (sqrt z))) (* 1/4 (* (sqrt z) (sqrt 2)))))
(* 1/4 (pow x 2))
(* (pow x 2) (+ 1/4 (* -1 (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1/4 (* -1 (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1/4 (* -1 (/ (pow y 2) (pow x 2)))))

Outputs
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))
(.f64 (.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z))
(+ (* 1/2 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))))
(.f64 (fma.f64 (.f64 t #s(literal 1/2 binary64)) t #s(literal 1 binary64)) (.f64 (.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)))
(+ (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (* (pow t 2) (+ (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (* 1/2 (* (* (pow t 2) (* (sqrt 2) (* (- (* 1/2 x) y) (- (* 1/2 z) (* 1/4 z))))) (sqrt (/ 1 z)))))))
(fma.f64 (.f64 (.f64 t t) (.f64 (.f64 (.f64 t #s(literal 1/2 binary64)) t) (.f64 (.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) #s(literal 1/4 binary64)) z) (sqrt.f64 #s(literal 2 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (.f64 (fma.f64 (.f64 t #s(literal 1/2 binary64)) t #s(literal 1 binary64)) (.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z))))
(+ (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (* (pow t 2) (+ (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (* (pow t 2) (+ (* 1/2 (* (sqrt (/ 1 z)) (* (sqrt 2) (* (- (* 1/2 x) y) (- (* 1/2 z) (* 1/4 z)))))) (* 1/2 (* (* (pow t 2) (* (sqrt 2) (* (- (* 1/6 z) (* 1/2 (- (* 1/2 z) (* 1/4 z)))) (- (* 1/2 x) y)))) (sqrt (/ 1 z)))))))))
(fma.f64 (pow.f64 t #s(literal 4 binary64)) (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64)) (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/4 binary64) z (.f64 (.f64 z #s(literal 1/24 binary64)) (.f64 t t)))))) (.f64 (fma.f64 (.f64 t #s(literal 1/2 binary64)) t #s(literal 1 binary64)) (.f64 (.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z))))
(* (sqrt z) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z))
(+ (* 1/2 (* (* (pow t 2) (sqrt 2)) (sqrt z))) (* (sqrt z) (sqrt 2)))
(.f64 (fma.f64 (.f64 t #s(literal 1/2 binary64)) t #s(literal 1 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z)))
(+ (* (sqrt z) (sqrt 2)) (* (pow t 2) (+ (* 1/2 (* (sqrt z) (sqrt 2))) (* 1/2 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 z) (* 1/4 z)))) (sqrt (/ 1 z)))))))
(fma.f64 (.f64 (.f64 t #s(literal 1/2 binary64)) t) (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (.f64 t t)) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)) z) (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z)))
(+ (* (sqrt z) (sqrt 2)) (* (pow t 2) (+ (* 1/2 (* (sqrt z) (sqrt 2))) (* (pow t 2) (+ (* 1/2 (* (sqrt (/ 1 z)) (* (sqrt 2) (- (* 1/2 z) (* 1/4 z))))) (* 1/2 (* (* (pow t 2) (* (sqrt 2) (- (* 1/6 z) (* 1/2 (- (* 1/2 z) (* 1/4 z)))))) (sqrt (/ 1 z)))))))))
(fma.f64 (pow.f64 t #s(literal 4 binary64)) (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/4 binary64) z (.f64 (.f64 z #s(literal 1/24 binary64)) (.f64 t t))))) (.f64 (fma.f64 (.f64 t #s(literal 1/2 binary64)) t #s(literal 1 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z))))
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))
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(.f64 (neg.f64 x) (.f64 (sqrt.f64 z) (fma.f64 #s(literal -1/2 binary64) (.f64 (sqrt.f64 (pow.f64 (exp.f64 t) t)) (sqrt.f64 #s(literal 2 binary64))) (.f64 (*.f64 (sqrt.f64 (pow.f64 (exp.f64 t) t)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 y x)))))
(* 1/4 (* (* (pow x 2) (sqrt 2)) (sqrt z)))
(.f64 (.f64 #s(literal 1/4 binary64) (sqrt.f64 z)) (.f64 (.f64 x (sqrt.f64 #s(literal 2 binary64))) x))
(* (pow x 2) (+ (* -1 (* (/ (* (pow y 2) (sqrt 2)) (pow x 2)) (sqrt z))) (* 1/4 (* (sqrt z) (sqrt 2)))))
(.f64 (.f64 (sqrt.f64 z) (fma.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)) (.f64 (.f64 y (/.f64 (neg.f64 y) x)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) x)))) (*.f64 x x))
(* (pow x 2) (+ (* -1 (* (/ (* (pow y 2) (sqrt 2)) (pow x 2)) (sqrt z))) (* 1/4 (* (sqrt z) (sqrt 2)))))
(.f64 (.f64 (sqrt.f64 z) (fma.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)) (.f64 (.f64 y (/.f64 (neg.f64 y) x)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) x)))) (*.f64 x x))
(* (pow x 2) (+ (* -1 (* (/ (* (pow y 2) (sqrt 2)) (pow x 2)) (sqrt z))) (* 1/4 (* (sqrt z) (sqrt 2)))))
(.f64 (.f64 (sqrt.f64 z) (fma.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)) (.f64 (.f64 y (/.f64 (neg.f64 y) x)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) x)))) (*.f64 x x))
(* 1/4 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/4 binary64))
(* (pow x 2) (+ 1/4 (* -1 (/ (pow y 2) (pow x 2)))))
(.f64 (.f64 (fma.f64 (/.f64 (neg.f64 y) x) (/.f64 y x) #s(literal 1/4 binary64)) x) x)
(* (pow x 2) (+ 1/4 (* -1 (/ (pow y 2) (pow x 2)))))
(.f64 (.f64 (fma.f64 (/.f64 (neg.f64 y) x) (/.f64 y x) #s(literal 1/4 binary64)) x) x)
(* (pow x 2) (+ 1/4 (* -1 (/ (pow y 2) (pow x 2)))))
(.f64 (.f64 (fma.f64 (/.f64 (neg.f64 y) x) (/.f64 y x) #s(literal 1/4 binary64)) x) x)

rewrite186.0ms (1.2%)

Memory

20.4MiB live, 248.4MiB allocated

Rules

6 900×	`lower-fma.f32`
6 892×	`lower-fma.f64`
5 038×	`lower-*.f32`
5 006×	`lower-*.f64`
4 434×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	54	275
0	93	250
1	257	250
2	1249	250
0	8460	250

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Counts

23 → 1 065

Calls

Call 1

Inputs
(.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 t) t)) z)))
(-.f64 (*.f64 #s(literal 1/2 binary64) x) y)
(*.f64 #s(literal 1/2 binary64) x)
(sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 t) t)) z))
(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(*.f64 x #s(literal 1/2 binary64))
(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 t t) #s(literal 1/2 binary64)) (.f64 t t) #s(literal 1 binary64))))
(.f64 #s(approx ( (- (* x 1/2) y) (sqrt (* z 2))) (.f64 (.f64 (neg.f64 (sqrt.f64 z)) y) (sqrt.f64 #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))))
#s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (.f64 (.f64 (neg.f64 (sqrt.f64 z)) y) (sqrt.f64 #s(literal 2 binary64))))
(.f64 (.f64 (neg.f64 (sqrt.f64 z)) y) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (neg.f64 (sqrt.f64 z)) y)
(/.f64 (.f64 (fma.f64 (neg.f64 y) y (pow.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) (fma.f64 #s(literal 1/2 binary64) x y))
(.f64 (/.f64 (.f64 (fma.f64 (neg.f64 y) y (pow.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64))) (sqrt.f64 (.f64 #s(literal 2 binary64) z))) (fma.f64 #s(literal 1/2 binary64) x y)) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))))
(.f64 (fma.f64 (neg.f64 y) y (pow.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))
(fma.f64 (neg.f64 y) y (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)))
(.f64 (.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 t) t)) z)
(exp.f64 t)
#s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))
(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
#s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 t t) #s(literal 1/2 binary64)) (.f64 t t) #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 t t) #s(literal 1/2 binary64)) (.f64 t t) #s(literal 1 binary64))

Outputs
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eval466.0ms (2.9%)

Memory: 43.9MiB live, 505.1MiB allocated
Compiler: Compiled 67 593 to 3 746 computations (94.5% saved)

prune82.0ms (0.5%)

Memory

-16.5MiB live, 183.9MiB allocated

Pruning

29 alts after pruning (29 fresh and 0 done)

	Pruned	Kept	Total
New	2 089	26	2 115
Fresh	8	3	11
Picked	5	0	5
Done	0	0	0
Total	2 102	29	2 131

Accuracy

100.0%

Counts

2 131 → 29

Alt Table

Click to see full alt table

Status	Accuracy	Program
	46.9%	(/.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/4 binary64) (.f64 (neg.f64 y) y)) (.f64 #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))) (fma.f64 x #s(literal 1/2 binary64) y))
	39.0%	(.f64 (/.f64 (-.f64 (.f64 (.f64 (.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (.f64 (.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (.f64 z #s(literal 2 binary64))))) (.f64 (.f64 (neg.f64 y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (.f64 (neg.f64 y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))))) (-.f64 (.f64 (.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (.f64 (neg.f64 y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
	89.7%	(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (.f64 #s(approx (exp (/ ( t t) 2)) (fma.f64 (fma.f64 (.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (.f64 t t) #s(literal 1 binary64))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))))
▶	99.3%	(.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) (pow.f64 #s(approx (exp t) (+.f64 #s(literal 1 binary64) t)) t)) z)))
	80.1%	(.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (.f64 (fma.f64 (.f64 t t) z z) #s(literal 2 binary64)))))
	51.9%	(.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z))))
	81.9%	(.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) #s(approx (sqrt (* (* 2 (pow (exp t) t)) z)) (.f64 (fma.f64 (.f64 t #s(literal 1/2 binary64)) t #s(literal 1 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z)))))
	51.7%	(.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) #s(approx (sqrt (* (* 2 (pow (exp t) t)) z)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z))))
	44.2%	(.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/4 binary64) (.f64 (neg.f64 y) y)) (/.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (fma.f64 x #s(literal 1/2 binary64) y))) #s(approx (exp (/ ( t t) 2)) #s(literal 1 binary64)))
	18.1%	(.f64 (.f64 (/.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/4 binary64) (.f64 (neg.f64 y) y)) (fma.f64 (.f64 x x) #s(literal 1/4 binary64) (.f64 (neg.f64 y) y))) (.f64 (fma.f64 (.f64 x x) #s(literal 1/4 binary64) (.f64 (neg.f64 y) y)) (fma.f64 x #s(literal 1/2 binary64) y))) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ ( t t) 2)) #s(literal 1 binary64)))
	99.1%	(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (exp.f64 (.f64 (.f64 t t) #s(literal 1/2 binary64))))
▶	94.6%	(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 t t) #s(literal 1/8 binary64)) (.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))))
	89.0%	(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (.f64 (fma.f64 (.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) t) t #s(literal 1 binary64))))
	80.6%	(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))))
▶	51.7%	(.f64 (.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
	46.8%	(.f64 (.f64 (.f64 (neg.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (fma.f64 (.f64 x x) #s(literal 1/4 binary64) (.f64 (neg.f64 y) y))) (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal 1/2 binary64) y))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
	55.8%	(.f64 (.f64 #s(approx (- (* x 1/2) y) (.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1 binary64)) y)) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
	51.9%	(.f64 (.f64 #s(approx (- (* x 1/2) y) (.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 y x)) x)) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
	55.5%	(.f64 (.f64 #s(approx (- (* x 1/2) y) (.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 t t) #s(literal 1/2 binary64)) (.f64 t t) #s(literal 1 binary64))))
	26.7%	(.f64 (.f64 #s(approx (- (* x 1/2) y) (.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
	52.4%	(.f64 (.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ ( t t) 2)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 t t) #s(literal 1/2 binary64)) (.f64 t t) #s(literal 1 binary64))))
▶	27.5%	(.f64 (.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ ( t t) 2)) #s(literal 1 binary64)))
▶	92.2%	(.f64 (.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (.f64 t t) #s(literal 1 binary64))) (-.f64 (.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (.f64 z #s(literal 2 binary64))))
	64.5%	(.f64 #s(approx (- ( 1/2 x) y) (.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 t) t)) z)))
	56.7%	(.f64 #s(approx ( (- (* x 1/2) y) (sqrt (* z 2))) (.f64 (.f64 (sqrt.f64 z) (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x (sqrt.f64 #s(literal 2 binary64))) y) (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 y))) #s(approx (exp (/ ( t t) 2)) #s(literal 1 binary64)))
	55.5%	(.f64 #s(approx ( (- (* x 1/2) y) (sqrt (* z 2))) (.f64 (.f64 x (.f64 #s(literal 1/2 binary64) (sqrt.f64 z))) (sqrt.f64 #s(literal 2 binary64)))) #s(approx (exp (/ ( t t) 2)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 t t) #s(literal 1/2 binary64)) (.f64 t t) #s(literal 1 binary64))))
	52.3%	(.f64 #s(approx ( (- (* x 1/2) y) (sqrt (* z 2))) (.f64 (neg.f64 y) (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 t t) #s(literal 1/2 binary64)) (.f64 t t) #s(literal 1 binary64))))
	27.5%	(.f64 #s(approx ( (- (* x 1/2) y) (sqrt (* z 2))) (.f64 (neg.f64 y) (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
	51.7%	#s(approx (* (- (* 1/2 x) y) (sqrt (* (* 2 (pow (exp t) t)) z))) (.f64 (.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)))

Compiler

Compiled 1 174 to 974 computations (17% saved)

simplify222.0ms (1.4%)

Memory

15.3MiB live, 127.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(*.f64 x #s(literal 1/2 binary64))
cost-diff	0	(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
cost-diff	0	(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
cost-diff	0	(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 t t) #s(literal 1/8 binary64)) (.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))))
cost-diff	0	(fma.f64 (fma.f64 (.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (.f64 t t) #s(literal 1 binary64))
cost-diff	0	#s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (.f64 t t) #s(literal 1 binary64)))
cost-diff	0	(.f64 #s(approx (exp (/ ( t t) 2)) (fma.f64 (fma.f64 (.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (.f64 t t) #s(literal 1 binary64))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y))
cost-diff	0	(.f64 (.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (.f64 t t) #s(literal 1 binary64))) (-.f64 (.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (.f64 z #s(literal 2 binary64))))
cost-diff	0	(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
cost-diff	0	(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 z))
cost-diff	0	(.f64 (.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64)))
cost-diff	0	(.f64 (.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
cost-diff	0	(neg.f64 y)
cost-diff	0	#s(approx (- (* x 1/2) y) (neg.f64 y))
cost-diff	0	(.f64 #s(approx (- ( x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
cost-diff	0	(.f64 (.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ ( t t) 2)) #s(literal 1 binary64)))
cost-diff	0	(sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) (pow.f64 #s(approx (exp t) (+.f64 #s(literal 1 binary64) t)) t)) z))
cost-diff	0	(*.f64 #s(literal 1/2 binary64) x)
cost-diff	0	(-.f64 (*.f64 #s(literal 1/2 binary64) x) y)
cost-diff	0	(.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) (pow.f64 #s(approx (exp t) (+.f64 #s(literal 1 binary64) t)) t)) z)))

Rules

7 268×	`lower-fma.f32`
7 258×	`lower-fma.f64`
4 634×	`lower-*.f32`
4 602×	`lower-*.f64`
1 632×	`unsub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	50	456
0	85	447
1	144	447
2	258	447
3	673	447
4	1662	447
5	2569	447
6	3136	447
7	4267	447
8	5496	447
9	6652	447
10	7440	447
11	7529	447
12	7584	447
13	7689	447
0	8105	447

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Calls

Call 1

Inputs
(.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) (pow.f64 #s(approx (exp t) (+.f64 #s(literal 1 binary64) t)) t)) z)))
(-.f64 (*.f64 #s(literal 1/2 binary64) x) y)
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
x
y
(sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) (pow.f64 #s(approx (exp t) (+.f64 #s(literal 1 binary64) t)) t)) z))
(.f64 (.f64 #s(literal 2 binary64) (pow.f64 #s(approx (exp t) (+.f64 #s(literal 1 binary64) t)) t)) z)
(*.f64 #s(literal 2 binary64) (pow.f64 #s(approx (exp t) (+.f64 #s(literal 1 binary64) t)) t))
#s(literal 2 binary64)
(pow.f64 #s(approx (exp t) (+.f64 #s(literal 1 binary64) t)) t)
#s(approx (exp t) (+.f64 #s(literal 1 binary64) t))
(+.f64 #s(literal 1 binary64) t)
#s(literal 1 binary64)
t
z
(.f64 (.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ ( t t) 2)) #s(literal 1 binary64)))
(.f64 #s(approx (- ( x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
#s(approx (- (* x 1/2) y) (neg.f64 y))
(neg.f64 y)
y
(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
(*.f64 z #s(literal 2 binary64))
z
#s(literal 2 binary64)
#s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))
#s(literal 1 binary64)
(.f64 (.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
(.f64 (.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64)))
(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 z))
(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(*.f64 x #s(literal 1/2 binary64))
x
#s(literal 1/2 binary64)
y
(sqrt.f64 z)
z
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
#s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))
#s(literal 1 binary64)
(.f64 (.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (.f64 t t) #s(literal 1 binary64))) (-.f64 (.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (.f64 z #s(literal 2 binary64))))
(.f64 #s(approx (exp (/ ( t t) 2)) (fma.f64 (fma.f64 (.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (.f64 t t) #s(literal 1 binary64))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y))
#s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (.f64 t t) #s(literal 1 binary64)))
(fma.f64 (fma.f64 (.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (.f64 t t) #s(literal 1 binary64))
(fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))
(*.f64 t t)
t
#s(literal 1/8 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(*.f64 x #s(literal 1/2 binary64))
x
y
(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
(*.f64 z #s(literal 2 binary64))
z
#s(literal 2 binary64)
(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 t t) #s(literal 1/8 binary64)) (.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))))
(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(*.f64 x #s(literal 1/2 binary64))
x
#s(literal 1/2 binary64)
y
(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
(*.f64 z #s(literal 2 binary64))
z
#s(literal 2 binary64)
#s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 t t) #s(literal 1/8 binary64)) (.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 t t) #s(literal 1/8 binary64)) (.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 t t) #s(literal 1/8 binary64)) (.f64 t t) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64))
#s(literal 1/48 binary64)
(*.f64 t t)
t
#s(literal 1/8 binary64)
#s(literal 1 binary64)

Outputs
(.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) (pow.f64 #s(approx (exp t) (+.f64 #s(literal 1 binary64) t)) t)) z)))
(.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (sqrt.f64 (.f64 (*.f64 z #s(literal 2 binary64)) (pow.f64 #s(approx (exp t) (+.f64 #s(literal 1 binary64) t)) t))))
(-.f64 (*.f64 #s(literal 1/2 binary64) x) y)
(fma.f64 x #s(literal 1/2 binary64) (neg.f64 y))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 x #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
x
y
(sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) (pow.f64 #s(approx (exp t) (+.f64 #s(literal 1 binary64) t)) t)) z))
(sqrt.f64 (.f64 (.f64 z #s(literal 2 binary64)) (pow.f64 #s(approx (exp t) (+.f64 #s(literal 1 binary64) t)) t)))
(.f64 (.f64 #s(literal 2 binary64) (pow.f64 #s(approx (exp t) (+.f64 #s(literal 1 binary64) t)) t)) z)
(.f64 (.f64 z #s(literal 2 binary64)) (pow.f64 #s(approx (exp t) (+.f64 #s(literal 1 binary64) t)) t))
(*.f64 #s(literal 2 binary64) (pow.f64 #s(approx (exp t) (+.f64 #s(literal 1 binary64) t)) t))
(*.f64 (pow.f64 #s(approx (exp t) (+.f64 #s(literal 1 binary64) t)) t) #s(literal 2 binary64))
#s(literal 2 binary64)
(pow.f64 #s(approx (exp t) (+.f64 #s(literal 1 binary64) t)) t)
#s(approx (exp t) (+.f64 #s(literal 1 binary64) t))
(+.f64 #s(literal 1 binary64) t)
#s(literal 1 binary64)
t
z
(.f64 (.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ ( t t) 2)) #s(literal 1 binary64)))
(.f64 (.f64 #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) #s(approx (- (* x 1/2) y) (neg.f64 y))) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
(.f64 #s(approx (- ( x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
(.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) #s(approx (- (* x 1/2) y) (neg.f64 y)))
#s(approx (- (* x 1/2) y) (neg.f64 y))
(neg.f64 y)
y
(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
(*.f64 z #s(literal 2 binary64))
z
#s(literal 2 binary64)
#s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))
#s(literal 1 binary64)
(.f64 (.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
(.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (sqrt.f64 z) (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)))) #s(approx (exp (/ ( t t) 2)) #s(literal 1 binary64)))
(.f64 (.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64)))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (sqrt.f64 z) (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y))))
(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 z))
(*.f64 (sqrt.f64 z) (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)))
(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(fma.f64 x #s(literal 1/2 binary64) (neg.f64 y))
(*.f64 x #s(literal 1/2 binary64))
x
#s(literal 1/2 binary64)
y
(sqrt.f64 z)
z
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
#s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))
#s(literal 1 binary64)
(.f64 (.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (.f64 t t) #s(literal 1 binary64))) (-.f64 (.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (.f64 z #s(literal 2 binary64))))
(.f64 (.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ ( t t) 2)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 t t) #s(literal 1/2 binary64)) (.f64 t t) #s(literal 1 binary64))))
(.f64 #s(approx (exp (/ ( t t) 2)) (fma.f64 (fma.f64 (.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (.f64 t t) #s(literal 1 binary64))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y))
(.f64 #s(approx (exp (/ ( t t) 2)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 t t) #s(literal 1/2 binary64)) (.f64 t t) #s(literal 1 binary64))) (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)))
#s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (.f64 t t) #s(literal 1 binary64)))
#s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 t t) #s(literal 1/2 binary64)) (.f64 t t) #s(literal 1 binary64)))
(fma.f64 (fma.f64 (.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (.f64 t t) #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 t t) #s(literal 1/2 binary64)) (.f64 t t) #s(literal 1 binary64))
(fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64))
(*.f64 t t)
t
#s(literal 1/8 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(fma.f64 x #s(literal 1/2 binary64) (neg.f64 y))
(*.f64 x #s(literal 1/2 binary64))
x
y
(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
(*.f64 z #s(literal 2 binary64))
z
#s(literal 2 binary64)
(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 t t) #s(literal 1/8 binary64)) (.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))))
(.f64 (.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 t t) #s(literal 1/8 binary64)) (.f64 t t) #s(literal 1/2 binary64)) (.f64 t t) #s(literal 1 binary64))) (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y))) (sqrt.f64 (.f64 z #s(literal 2 binary64))))
(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
(.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (sqrt.f64 (.f64 z #s(literal 2 binary64))))
(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(fma.f64 x #s(literal 1/2 binary64) (neg.f64 y))
(*.f64 x #s(literal 1/2 binary64))
x
#s(literal 1/2 binary64)
y
(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
(*.f64 z #s(literal 2 binary64))
z
#s(literal 2 binary64)
#s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 t t) #s(literal 1/8 binary64)) (.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 t t) #s(literal 1/8 binary64)) (.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 t t) #s(literal 1/8 binary64)) (.f64 t t) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64))
#s(literal 1/48 binary64)
(*.f64 t t)
t
#s(literal 1/8 binary64)
#s(literal 1 binary64)

localize191.0ms (1.2%)

Memory

-38.4MiB live, 179.5MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.06640625	(fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64))
accuracy	0.21875	(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
accuracy	0.5078083716604116	(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 t t) #s(literal 1/8 binary64)) (.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))))
accuracy	4.956268273473217	#s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 t t) #s(literal 1/8 binary64)) (.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))
accuracy	0.0078125	(.f64 #s(approx (exp (/ ( t t) 2)) (fma.f64 (fma.f64 (.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (.f64 t t) #s(literal 1 binary64))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y))
accuracy	0.05078125	(fma.f64 (fma.f64 (.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (.f64 t t) #s(literal 1 binary64))
accuracy	0.09375	(.f64 (.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (.f64 t t) #s(literal 1 binary64))) (-.f64 (.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (.f64 z #s(literal 2 binary64))))
accuracy	8.412886140426826	#s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (.f64 t t) #s(literal 1 binary64)))
accuracy	0.21875	(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 z))
accuracy	0.42873002930532605	(.f64 (.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64)))
accuracy	0.5078083716604116	(.f64 (.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
accuracy	32.90196826644707	#s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))
accuracy	0.21875	(.f64 #s(approx (- ( x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
accuracy	0.5078083716604116	(.f64 (.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ ( t t) 2)) #s(literal 1 binary64)))
accuracy	31.719492430101532	#s(approx (- (* x 1/2) y) (neg.f64 y))
accuracy	32.90196826644707	#s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))
accuracy	0.0078125	(.f64 (.f64 #s(literal 2 binary64) (pow.f64 #s(approx (exp t) (+.f64 #s(literal 1 binary64) t)) t)) z)
accuracy	0.0078125	(sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) (pow.f64 #s(approx (exp t) (+.f64 #s(literal 1 binary64) t)) t)) z))
accuracy	0.09375	(.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) (pow.f64 #s(approx (exp t) (+.f64 #s(literal 1 binary64) t)) t)) z)))
accuracy	32.13877070927666	#s(approx (exp t) (+.f64 #s(literal 1 binary64) t))

Samples

146.0ms

256×

valid

Compiler

Compiled 356 to 47 computations (86.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 83.0ms

ival-mult: 51.0ms (61.5% of total)

ival-add: 6.0ms (7.2% of total)

ival-sqrt: 6.0ms (7.2% of total)

ival-pow: 6.0ms (7.2% of total)

ival-exp: 4.0ms (4.8% of total)

const: 4.0ms (4.8% of total)

ival-div: 2.0ms (2.4% of total)

ival-sub: 2.0ms (2.4% of total)

exact: 1.0ms (1.2% of total)

ival-neg: 1.0ms (1.2% of total)

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

series103.0ms (0.6%)

Memory

19.4MiB live, 176.5MiB allocated

Counts

24 → 648

Calls

Call 1

Inputs
#s(alt (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) (pow.f64 #s(approx (exp t) (+.f64 #s(literal 1 binary64) t)) t)) z))) (patch (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) (pow.f64 #s(approx (exp t) (+.f64 #s(literal 1 binary64) t)) t)) z))) #<representation binary64>) () ())
#s(alt (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (patch (-.f64 (.f64 #s(literal 1/2 binary64) x) y) #<representation binary64>) () ())
#s(alt (.f64 #s(literal 1/2 binary64) x) (patch (.f64 #s(literal 1/2 binary64) x) #<representation binary64>) () ())
#s(alt (sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) (pow.f64 #s(approx (exp t) (+.f64 #s(literal 1 binary64) t)) t)) z)) (patch (sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) (pow.f64 #s(approx (exp t) (+.f64 #s(literal 1 binary64) t)) t)) z)) #<representation binary64>) () ())
#s(alt (.f64 (.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ ( t t) 2)) #s(literal 1 binary64))) (patch (.f64 (.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ ( t t) 2)) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (.f64 #s(approx (- ( x 1/2) y) (neg.f64 y)) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (patch (.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (- (* x 1/2) y) (neg.f64 y)) (patch #s(approx (- (* x 1/2) y) (neg.f64 y)) #<representation binary64>) () ())
#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())
#s(alt (.f64 (.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) (patch (.f64 (.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) (patch (.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 z)) (patch (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 z)) #<representation binary64>) () ())
#s(alt (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (patch (-.f64 (.f64 x #s(literal 1/2 binary64)) y) #<representation binary64>) () ())
#s(alt (.f64 (.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (.f64 t t) #s(literal 1 binary64))) (-.f64 (.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (patch (.f64 (.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (.f64 t t) #s(literal 1 binary64))) (-.f64 (.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #<representation binary64>) () ())
#s(alt (.f64 #s(approx (exp (/ ( t t) 2)) (fma.f64 (fma.f64 (.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (.f64 t t) #s(literal 1 binary64))) (-.f64 (.f64 x #s(literal 1/2 binary64)) y)) (patch (.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (.f64 t t) #s(literal 1 binary64))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) #<representation binary64>) () ())
#s(alt #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (.f64 t t) #s(literal 1 binary64))) (patch #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (.f64 t t) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (fma.f64 (.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (.f64 t t) #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 (.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (.f64 t t) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 t t) #s(literal 1/8 binary64)) (.f64 t t) #s(literal 1/2 binary64)) (.f64 t t) #s(literal 1 binary64)))) (patch (.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ ( t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 t t) #s(literal 1/8 binary64)) (.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (patch (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #<representation binary64>) () ())
#s(alt (.f64 x #s(literal 1/2 binary64)) (patch (.f64 x #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (exp t) (+.f64 #s(literal 1 binary64) t)) (patch #s(approx (exp t) (+.f64 #s(literal 1 binary64) t)) #<representation binary64>) () ())
#s(alt (.f64 (.f64 #s(literal 2 binary64) (pow.f64 #s(approx (exp t) (+.f64 #s(literal 1 binary64) t)) t)) z) (patch (.f64 (.f64 #s(literal 2 binary64) (pow.f64 #s(approx (exp t) (+.f64 #s(literal 1 binary64) t)) t)) z) #<representation binary64>) () ())
#s(alt #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) (patch #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 t t) #s(literal 1/8 binary64)) (.f64 t t) #s(literal 1/2 binary64)) (.f64 t t) #s(literal 1 binary64))) (patch #s(approx (exp (/ ( t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 t t) #s(literal 1/8 binary64)) (.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal 1/48 binary64) (.f64 t t) #s(literal 1/8 binary64)) (patch (fma.f64 #s(literal 1/48 binary64) (.f64 t t) #s(literal 1/8 binary64)) #<representation binary64>) () ())

Outputs
#s(alt (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (taylor 0 t) (#s(alt (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) (pow.f64 #s(approx (exp t) (+.f64 #s(literal 1 binary64) t)) t)) z))) (patch (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) (pow.f64 #s(approx (exp t) (+.f64 #s(literal 1 binary64) t)) t)) z))) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* x (+ (* -1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z))))) (taylor -inf x) (#s(alt (.f64 (.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (.f64 t t) #s(literal 1 binary64))) (-.f64 (.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (patch (.f64 (.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (.f64 t t) #s(literal 1 binary64))) (-.f64 (.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z))))) (taylor -inf x) (#s(alt (.f64 (.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (.f64 t t) #s(literal 1 binary64))) (-.f64 (.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (patch (.f64 (.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (.f64 t t) #s(literal 1 binary64))) (-.f64 (.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z))))) (taylor -inf x) (#s(alt (.f64 (.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (.f64 t t) #s(literal 1 binary64))) (-.f64 (.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (patch (.f64 (.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (.f64 t t) #s(literal 1 binary64))) (-.f64 (.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* x (exp (* 1/2 (pow t 2))))) (taylor -inf x) (#s(alt (.f64 #s(approx (exp (/ ( t t) 2)) (fma.f64 (fma.f64 (.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (.f64 t t) #s(literal 1 binary64))) (-.f64 (.f64 x #s(literal 1/2 binary64)) y)) (patch (.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (.f64 t t) #s(literal 1 binary64))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1/2 (exp (* 1/2 (pow t 2)))) (/ (* y (exp (* 1/2 (pow t 2)))) x)))) (taylor -inf x) (#s(alt (.f64 #s(approx (exp (/ ( t t) 2)) (fma.f64 (fma.f64 (.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (.f64 t t) #s(literal 1 binary64))) (-.f64 (.f64 x #s(literal 1/2 binary64)) y)) (patch (.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (.f64 t t) #s(literal 1 binary64))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1/2 (exp (* 1/2 (pow t 2)))) (/ (* y (exp (* 1/2 (pow t 2)))) x)))) (taylor -inf x) (#s(alt (.f64 #s(approx (exp (/ ( t t) 2)) (fma.f64 (fma.f64 (.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (.f64 t t) #s(literal 1 binary64))) (-.f64 (.f64 x #s(literal 1/2 binary64)) y)) (patch (.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (.f64 t t) #s(literal 1 binary64))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1/2 (exp (* 1/2 (pow t 2)))) (/ (* y (exp (* 1/2 (pow t 2)))) x)))) (taylor -inf x) (#s(alt (.f64 #s(approx (exp (/ ( t t) 2)) (fma.f64 (fma.f64 (.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (.f64 t t) #s(literal 1 binary64))) (-.f64 (.f64 x #s(literal 1/2 binary64)) y)) (patch (.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (.f64 t t) #s(literal 1 binary64))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) (taylor -inf x) (#s(alt (.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 t t) #s(literal 1/8 binary64)) (.f64 t t) #s(literal 1/2 binary64)) (.f64 t t) #s(literal 1 binary64)))) (patch (.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ ( t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 t t) #s(literal 1/8 binary64)) (.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z))))) (taylor -inf x) (#s(alt (.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 t t) #s(literal 1/8 binary64)) (.f64 t t) #s(literal 1/2 binary64)) (.f64 t t) #s(literal 1 binary64)))) (patch (.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ ( t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 t t) #s(literal 1/8 binary64)) (.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z))))) (taylor -inf x) (#s(alt (.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 t t) #s(literal 1/8 binary64)) (.f64 t t) #s(literal 1/2 binary64)) (.f64 t t) #s(literal 1 binary64)))) (patch (.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ ( t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 t t) #s(literal 1/8 binary64)) (.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z))))) (taylor -inf x) (#s(alt (.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 t t) #s(literal 1/8 binary64)) (.f64 t t) #s(literal 1/2 binary64)) (.f64 t t) #s(literal 1 binary64)))) (patch (.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ ( t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 t t) #s(literal 1/8 binary64)) (.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* (* x (sqrt 2)) (sqrt z))) (taylor -inf x) (#s(alt (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (patch (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1/2 (* (sqrt z) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt z))))) (taylor -inf x) (#s(alt (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (patch (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1/2 (* (sqrt z) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt z))))) (taylor -inf x) (#s(alt (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (patch (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1/2 (* (sqrt z) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt z))))) (taylor -inf x) (#s(alt (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (patch (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 x) (taylor -inf x) (#s(alt (.f64 x #s(literal 1/2 binary64)) (patch (.f64 x #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 x) (taylor -inf x) (#s(alt (.f64 x #s(literal 1/2 binary64)) (patch (.f64 x #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 x) (taylor -inf x) (#s(alt (.f64 x #s(literal 1/2 binary64)) (patch (.f64 x #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 x) (taylor -inf x) (#s(alt (.f64 x #s(literal 1/2 binary64)) (patch (.f64 x #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())

Calls

12 calls:

Time	Variable		Point	Expression
13.0ms	z	@	inf	((* (- (* 1/2 x) y) (sqrt (* (* 2 (pow (exp t) t)) z))) (- (* 1/2 x) y) (* 1/2 x) (sqrt (* (* 2 (pow (exp t) t)) z)) (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (- (* x 1/2) y) (sqrt (* z 2))) (- (* x 1/2) y) (neg y) (* (* (* (- (* x 1/2) y) (sqrt z)) (sqrt 2)) (exp (/ (* t t) 2))) (* (* (- (* x 1/2) y) (sqrt z)) (sqrt 2)) (* (- (* x 1/2) y) (sqrt z)) (- (* x 1/2) y) (* (* (exp (/ (* t t) 2)) (- (* x 1/2) y)) (sqrt (* z 2))) (* (exp (/ (* t t) 2)) (- (* x 1/2) y)) (exp (/ (* t t) 2)) (+ (* (+ (* (* t t) 1/8) 1/2) (* t t)) 1) (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (- (* x 1/2) y) (sqrt (* z 2))) (* x 1/2) (exp t) (* (* 2 (pow (exp t) t)) z) (exp (/ (* t t) 2)) (exp (/ (* t t) 2)) (+ (* 1/48 (* t t)) 1/8))
12.0ms	z	@	0	((* (- (* 1/2 x) y) (sqrt (* (* 2 (pow (exp t) t)) z))) (- (* 1/2 x) y) (* 1/2 x) (sqrt (* (* 2 (pow (exp t) t)) z)) (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (- (* x 1/2) y) (sqrt (* z 2))) (- (* x 1/2) y) (neg y) (* (* (* (- (* x 1/2) y) (sqrt z)) (sqrt 2)) (exp (/ (* t t) 2))) (* (* (- (* x 1/2) y) (sqrt z)) (sqrt 2)) (* (- (* x 1/2) y) (sqrt z)) (- (* x 1/2) y) (* (* (exp (/ (* t t) 2)) (- (* x 1/2) y)) (sqrt (* z 2))) (* (exp (/ (* t t) 2)) (- (* x 1/2) y)) (exp (/ (* t t) 2)) (+ (* (+ (* (* t t) 1/8) 1/2) (* t t)) 1) (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (- (* x 1/2) y) (sqrt (* z 2))) (* x 1/2) (exp t) (* (* 2 (pow (exp t) t)) z) (exp (/ (* t t) 2)) (exp (/ (* t t) 2)) (+ (* 1/48 (* t t)) 1/8))
11.0ms	z	@	-inf	((* (- (* 1/2 x) y) (sqrt (* (* 2 (pow (exp t) t)) z))) (- (* 1/2 x) y) (* 1/2 x) (sqrt (* (* 2 (pow (exp t) t)) z)) (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (- (* x 1/2) y) (sqrt (* z 2))) (- (* x 1/2) y) (neg y) (* (* (* (- (* x 1/2) y) (sqrt z)) (sqrt 2)) (exp (/ (* t t) 2))) (* (* (- (* x 1/2) y) (sqrt z)) (sqrt 2)) (* (- (* x 1/2) y) (sqrt z)) (- (* x 1/2) y) (* (* (exp (/ (* t t) 2)) (- (* x 1/2) y)) (sqrt (* z 2))) (* (exp (/ (* t t) 2)) (- (* x 1/2) y)) (exp (/ (* t t) 2)) (+ (* (+ (* (* t t) 1/8) 1/2) (* t t)) 1) (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (- (* x 1/2) y) (sqrt (* z 2))) (* x 1/2) (exp t) (* (* 2 (pow (exp t) t)) z) (exp (/ (* t t) 2)) (exp (/ (* t t) 2)) (+ (* 1/48 (* t t)) 1/8))
7.0ms	x	@	-inf	((* (- (* 1/2 x) y) (sqrt (* (* 2 (pow (exp t) t)) z))) (- (* 1/2 x) y) (* 1/2 x) (sqrt (* (* 2 (pow (exp t) t)) z)) (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (- (* x 1/2) y) (sqrt (* z 2))) (- (* x 1/2) y) (neg y) (* (* (* (- (* x 1/2) y) (sqrt z)) (sqrt 2)) (exp (/ (* t t) 2))) (* (* (- (* x 1/2) y) (sqrt z)) (sqrt 2)) (* (- (* x 1/2) y) (sqrt z)) (- (* x 1/2) y) (* (* (exp (/ (* t t) 2)) (- (* x 1/2) y)) (sqrt (* z 2))) (* (exp (/ (* t t) 2)) (- (* x 1/2) y)) (exp (/ (* t t) 2)) (+ (* (+ (* (* t t) 1/8) 1/2) (* t t)) 1) (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (- (* x 1/2) y) (sqrt (* z 2))) (* x 1/2) (exp t) (* (* 2 (pow (exp t) t)) z) (exp (/ (* t t) 2)) (exp (/ (* t t) 2)) (+ (* 1/48 (* t t)) 1/8))
6.0ms	y	@	0	((* (- (* 1/2 x) y) (sqrt (* (* 2 (pow (exp t) t)) z))) (- (* 1/2 x) y) (* 1/2 x) (sqrt (* (* 2 (pow (exp t) t)) z)) (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (- (* x 1/2) y) (sqrt (* z 2))) (- (* x 1/2) y) (neg y) (* (* (* (- (* x 1/2) y) (sqrt z)) (sqrt 2)) (exp (/ (* t t) 2))) (* (* (- (* x 1/2) y) (sqrt z)) (sqrt 2)) (* (- (* x 1/2) y) (sqrt z)) (- (* x 1/2) y) (* (* (exp (/ (* t t) 2)) (- (* x 1/2) y)) (sqrt (* z 2))) (* (exp (/ (* t t) 2)) (- (* x 1/2) y)) (exp (/ (* t t) 2)) (+ (* (+ (* (* t t) 1/8) 1/2) (* t t)) 1) (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (- (* x 1/2) y) (sqrt (* z 2))) (* x 1/2) (exp t) (* (* 2 (pow (exp t) t)) z) (exp (/ (* t t) 2)) (exp (/ (* t t) 2)) (+ (* 1/48 (* t t)) 1/8))

simplify359.0ms (2.2%)

Memory

-120.7MiB live, 329.3MiB allocated

Algorithm

1×	egg-herbie

Rules

13 478×	`lower-fma.f64`
13 478×	`lower-fma.f32`
7 276×	`lower-*.f64`
7 276×	`lower-*.f32`
3 088×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	335	9600
1	1145	9394
2	4007	8473
3	7514	8473
0	8026	8369

Stop Event

1×	iter limit
1×	node limit

Counts

648 → 648

Calls

Call 1

Inputs
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))
(+ (* 1/2 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))))
(+ (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (* (pow t 2) (+ (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (* 1/2 (* (* (pow t 2) (* (sqrt 2) (* (- (* 1/2 x) y) (- (* 1/2 z) (* 1/4 z))))) (sqrt (/ 1 z)))))))
(+ (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (* (pow t 2) (+ (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (* (pow t 2) (+ (* 1/2 (* (sqrt (/ 1 z)) (* (sqrt 2) (* (- (* 1/2 x) y) (- (* 1/2 z) (* 1/4 z)))))) (* 1/2 (* (* (pow t 2) (* (sqrt 2) (* (- (* 1/6 z) (* 1/2 (- (* 1/2 z) (* 1/4 z)))) (- (* 1/2 x) y)))) (sqrt (/ 1 z)))))))))
(* (sqrt z) (sqrt 2))
(+ (* 1/2 (* (* (pow t 2) (sqrt 2)) (sqrt z))) (* (sqrt z) (sqrt 2)))
(+ (* (sqrt z) (sqrt 2)) (* (pow t 2) (+ (* 1/2 (* (sqrt z) (sqrt 2))) (* 1/2 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 z) (* 1/4 z)))) (sqrt (/ 1 z)))))))
(+ (* (sqrt z) (sqrt 2)) (* (pow t 2) (+ (* 1/2 (* (sqrt z) (sqrt 2))) (* (pow t 2) (+ (* 1/2 (* (sqrt (/ 1 z)) (* (sqrt 2) (- (* 1/2 z) (* 1/4 z))))) (* 1/2 (* (* (pow t 2) (* (sqrt 2) (- (* 1/6 z) (* 1/2 (- (* 1/2 z) (* 1/4 z)))))) (sqrt (/ 1 z)))))))))
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))
(+ (* 1/2 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))))
(+ (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (* (pow t 2) (+ (* 1/8 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))))))
(+ (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (* (pow t 2) (+ (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (* (pow t 2) (+ (* 1/48 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* 1/8 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))))))))
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))
(+ (* 1/2 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))))
(+ (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (* (pow t 2) (+ (* 1/8 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))))))
(+ (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (* (pow t 2) (+ (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (* (pow t 2) (+ (* 1/48 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* 1/8 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))))))))
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))
(+ (* 1/2 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))))
(+ (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (* (pow t 2) (+ (* 1/8 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))))))
(+ (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (* (pow t 2) (+ (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (* (pow t 2) (+ (* 1/48 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* 1/8 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))))))))
(- (* 1/2 x) y)
(- (+ (* 1/2 x) (* 1/2 (* (pow t 2) (- (* 1/2 x) y)))) y)
(- (+ (* 1/2 x) (* (pow t 2) (+ (* 1/8 (* (pow t 2) (- (* 1/2 x) y))) (* 1/2 (- (* 1/2 x) y))))) y)
(- (+ (* 1/2 x) (* (pow t 2) (+ (* 1/2 (- (* 1/2 x) y)) (* (pow t 2) (+ (* 1/48 (* (pow t 2) (- (* 1/2 x) y))) (* 1/8 (- (* 1/2 x) y))))))) y)
1
(+ 1 (* 1/2 (pow t 2)))
(+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2)))))
(+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2)))))))
1
(+ 1 (* 1/2 (pow t 2)))
(+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2)))))
(+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2)))))
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))
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(* -1 (* x (- (/ y x) 1/2)))
(* -1 (* x (- (/ y x) 1/2)))
(* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))
(* -1 (* x (+ (* -1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z)))))
(* -1 (* x (+ (* -1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z)))))
(* -1 (* x (+ (* -1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z)))))
(* 1/2 (* (* x (sqrt 2)) (sqrt z)))
(* -1 (* x (+ (* -1/2 (* (sqrt z) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt z)))))
(* -1 (* x (+ (* -1/2 (* (sqrt z) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt z)))))
(* -1 (* x (+ (* -1/2 (* (sqrt z) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt z)))))
(* 1/2 (* x (sqrt z)))
(* -1 (* x (+ (* -1/2 (sqrt z)) (* (/ y x) (sqrt z)))))
(* -1 (* x (+ (* -1/2 (sqrt z)) (* (/ y x) (sqrt z)))))
(* -1 (* x (+ (* -1/2 (sqrt z)) (* (/ y x) (sqrt z)))))
(* 1/2 x)
(* -1 (* x (- (/ y x) 1/2)))
(* -1 (* x (- (/ y x) 1/2)))
(* -1 (* x (- (/ y x) 1/2)))
(* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))
(* -1 (* x (+ (* -1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z)))))
(* -1 (* x (+ (* -1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z)))))
(* -1 (* x (+ (* -1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z)))))
(* 1/2 (* x (exp (* 1/2 (pow t 2)))))
(* -1 (* x (+ (* -1/2 (exp (* 1/2 (pow t 2)))) (/ (* y (exp (* 1/2 (pow t 2)))) x))))
(* -1 (* x (+ (* -1/2 (exp (* 1/2 (pow t 2)))) (/ (* y (exp (* 1/2 (pow t 2)))) x))))
(* -1 (* x (+ (* -1/2 (exp (* 1/2 (pow t 2)))) (/ (* y (exp (* 1/2 (pow t 2)))) x))))
(* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))
(* -1 (* x (+ (* -1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z)))))
(* -1 (* x (+ (* -1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z)))))
(* -1 (* x (+ (* -1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z)))))
(* 1/2 (* (* x (sqrt 2)) (sqrt z)))
(* -1 (* x (+ (* -1/2 (* (sqrt z) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt z)))))
(* -1 (* x (+ (* -1/2 (* (sqrt z) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt z)))))
(* -1 (* x (+ (* -1/2 (* (sqrt z) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt z)))))
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)

Outputs
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))
(.f64 (.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z))
(+ (* 1/2 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))))
(.f64 (fma.f64 (.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (.f64 (.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)))
(+ (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (* (pow t 2) (+ (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (* 1/2 (* (* (pow t 2) (* (sqrt 2) (* (- (* 1/2 x) y) (- (* 1/2 z) (* 1/4 z))))) (sqrt (/ 1 z)))))))
(fma.f64 (.f64 (.f64 t t) (.f64 (.f64 (.f64 t t) #s(literal 1/2 binary64)) (.f64 (.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) #s(literal 1/4 binary64)) z) (sqrt.f64 #s(literal 2 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (.f64 (fma.f64 (.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z))))
(+ (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (* (pow t 2) (+ (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (* (pow t 2) (+ (* 1/2 (* (sqrt (/ 1 z)) (* (sqrt 2) (* (- (* 1/2 x) y) (- (* 1/2 z) (* 1/4 z)))))) (* 1/2 (* (* (pow t 2) (* (sqrt 2) (* (- (* 1/6 z) (* 1/2 (- (* 1/2 z) (* 1/4 z)))) (- (* 1/2 x) y)))) (sqrt (/ 1 z)))))))))
(fma.f64 (pow.f64 t #s(literal 4 binary64)) (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64)) (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/4 binary64) z (.f64 (.f64 z #s(literal 1/24 binary64)) (.f64 t t)))))) (.f64 (fma.f64 (.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (.f64 (.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z))))
(* (sqrt z) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z))
(+ (* 1/2 (* (* (pow t 2) (sqrt 2)) (sqrt z))) (* (sqrt z) (sqrt 2)))
(.f64 (fma.f64 (.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z)))
(+ (* (sqrt z) (sqrt 2)) (* (pow t 2) (+ (* 1/2 (* (sqrt z) (sqrt 2))) (* 1/2 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 z) (* 1/4 z)))) (sqrt (/ 1 z)))))))
(fma.f64 (.f64 (.f64 t t) #s(literal 1/2 binary64)) (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (.f64 t t)) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)) z) (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z)))
(+ (* (sqrt z) (sqrt 2)) (* (pow t 2) (+ (* 1/2 (* (sqrt z) (sqrt 2))) (* (pow t 2) (+ (* 1/2 (* (sqrt (/ 1 z)) (* (sqrt 2) (- (* 1/2 z) (* 1/4 z))))) (* 1/2 (* (* (pow t 2) (* (sqrt 2) (- (* 1/6 z) (* 1/2 (- (* 1/2 z) (* 1/4 z)))))) (sqrt (/ 1 z)))))))))
(fma.f64 (pow.f64 t #s(literal 4 binary64)) (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/4 binary64) z (.f64 (.f64 z #s(literal 1/24 binary64)) (.f64 t t))))) (.f64 (fma.f64 (.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z))))
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))
(.f64 (.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z))
(+ (* 1/2 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))))
(.f64 (fma.f64 (.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (.f64 (.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)))
(+ (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (* (pow t 2) (+ (* 1/8 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))))))
(fma.f64 (.f64 (.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) (fma.f64 #s(literal 1/8 binary64) (.f64 t t) #s(literal 1/2 binary64))) (.f64 t t) (.f64 (.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)))
(+ (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (* (pow t 2) (+ (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (* (pow t 2) (+ (* 1/48 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* 1/8 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))))))))
(fma.f64 (pow.f64 t #s(literal 4 binary64)) (.f64 (.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) (fma.f64 #s(literal 1/48 binary64) (.f64 t t) #s(literal 1/8 binary64))) (.f64 (fma.f64 (.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z))))
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))
(.f64 (.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z))
(+ (* 1/2 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))))
(.f64 (fma.f64 (.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (.f64 (.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)))
(+ (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (* (pow t 2) (+ (* 1/8 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))))))
(fma.f64 (.f64 (.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) (fma.f64 #s(literal 1/8 binary64) (.f64 t t) #s(literal 1/2 binary64))) (.f64 t t) (.f64 (.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)))
(+ (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (* (pow t 2) (+ (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (* (pow t 2) (+ (* 1/48 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* 1/8 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))))))))
(fma.f64 (pow.f64 t #s(literal 4 binary64)) (.f64 (.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) (fma.f64 #s(literal 1/48 binary64) (.f64 t t) #s(literal 1/8 binary64))) (.f64 (fma.f64 (.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z))))
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))
(.f64 (.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z))
(+ (* 1/2 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))))
(.f64 (fma.f64 (.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (.f64 (.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)))
(+ (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (* (pow t 2) (+ (* 1/8 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))))))
(fma.f64 (.f64 (.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) (fma.f64 #s(literal 1/8 binary64) (.f64 t t) #s(literal 1/2 binary64))) (.f64 t t) (.f64 (.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)))
(+ (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (* (pow t 2) (+ (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (* (pow t 2) (+ (* 1/48 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* 1/8 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))))))))
(fma.f64 (pow.f64 t #s(literal 4 binary64)) (.f64 (.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) (fma.f64 #s(literal 1/48 binary64) (.f64 t t) #s(literal 1/8 binary64))) (.f64 (fma.f64 (.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z))))
(- (* 1/2 x) y)
(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(- (+ (* 1/2 x) (* 1/2 (* (pow t 2) (- (* 1/2 x) y)))) y)
(.f64 (fma.f64 (.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y))
(- (+ (* 1/2 x) (* (pow t 2) (+ (* 1/8 (* (pow t 2) (- (* 1/2 x) y))) (* 1/2 (- (* 1/2 x) y))))) y)
(fma.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (fma.f64 #s(literal 1/8 binary64) (.f64 t t) #s(literal 1/2 binary64))) (.f64 t t) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y))
(- (+ (* 1/2 x) (* (pow t 2) (+ (* 1/2 (- (* 1/2 x) y)) (* (pow t 2) (+ (* 1/48 (* (pow t 2) (- (* 1/2 x) y))) (* 1/8 (- (* 1/2 x) y))))))) y)
(fma.f64 (pow.f64 t #s(literal 4 binary64)) (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (fma.f64 #s(literal 1/48 binary64) (.f64 t t) #s(literal 1/8 binary64))) (.f64 (fma.f64 (.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (-.f64 (.f64 x #s(literal 1/2 binary64)) y)))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 (pow t 2)))
(fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))
(+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2)))))
(fma.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 t t) #s(literal 1/2 binary64)) (.f64 t t) #s(literal 1 binary64))
(+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2)))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 t t) #s(literal 1/8 binary64)) (.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 (pow t 2)))
(fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))
(+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2)))))
(fma.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 t t) #s(literal 1/2 binary64)) (.f64 t t) #s(literal 1 binary64))
(+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2)))))
(fma.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 t t) #s(literal 1/2 binary64)) (.f64 t t) #s(literal 1 binary64))
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))
(.f64 (.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z))
(+ (* 1/2 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))))
(.f64 (fma.f64 (.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (.f64 (.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)))
(+ (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (* (pow t 2) (+ (* 1/8 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))))))
(fma.f64 (.f64 (.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) (fma.f64 #s(literal 1/8 binary64) (.f64 t t) #s(literal 1/2 binary64))) (.f64 t t) (.f64 (.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)))
(+ (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (* (pow t 2) (+ (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (* (pow t 2) (+ (* 1/48 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* 1/8 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))))))))
(fma.f64 (pow.f64 t #s(literal 4 binary64)) (.f64 (.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) (fma.f64 #s(literal 1/48 binary64) (.f64 t t) #s(literal 1/8 binary64))) (.f64 (fma.f64 (.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z))))
1
#s(literal 1 binary64)
(+ 1 t)
(+.f64 #s(literal 1 binary64) t)
(+ 1 (* t (+ 1 (* 1/2 t))))
(fma.f64 (fma.f64 t #s(literal 1/2 binary64) #s(literal 1 binary64)) t #s(literal 1 binary64))
(+ 1 (* t (+ 1 (* t (+ 1/2 (* 1/6 t))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) t #s(literal 1/2 binary64)) t #s(literal 1 binary64)) t #s(literal 1 binary64))
(* 2 z)
(*.f64 #s(literal 2 binary64) z)
(+ (* 2 z) (* 2 (* (pow t 2) z)))
(.f64 (fma.f64 (.f64 t t) z z) #s(literal 2 binary64))
(+ (* 2 z) (* (pow t 2) (+ (* 2 z) (* (pow t 2) z))))
(*.f64 z (fma.f64 (fma.f64 t t #s(literal 1 binary64)) #s(literal 2 binary64) (pow.f64 t #s(literal 4 binary64))))
(+ (* 2 z) (* (pow t 2) (+ (* 2 z) (* (pow t 2) (+ z (* 1/3 (* (pow t 2) z)))))))
(fma.f64 (pow.f64 t #s(literal 4 binary64)) (fma.f64 #s(literal 1/3 binary64) (.f64 (.f64 t t) z) z) (.f64 (fma.f64 (.f64 t t) z z) #s(literal 2 binary64)))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 (pow t 2)))
(fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))
(+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2)))))
(fma.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 t t) #s(literal 1/2 binary64)) (.f64 t t) #s(literal 1 binary64))
(+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2)))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 t t) #s(literal 1/8 binary64)) (.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 (pow t 2)))
(fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))
(+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2)))))
(fma.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 t t) #s(literal 1/2 binary64)) (.f64 t t) #s(literal 1 binary64))
(+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2)))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 t t) #s(literal 1/8 binary64)) (.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))
1/8
#s(literal 1/8 binary64)
(+ 1/8 (* 1/48 (pow t 2)))
(fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64))
(+ 1/8 (* 1/48 (pow t 2)))
(fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64))
(+ 1/8 (* 1/48 (pow t 2)))
(fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64))
(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y)))
(.f64 (.f64 (sqrt.f64 (.f64 (pow.f64 (exp.f64 t) t) z)) (-.f64 (.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 #s(literal 2 binary64)))
(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y)))
(.f64 (.f64 (sqrt.f64 (.f64 (pow.f64 (exp.f64 t) t) z)) (-.f64 (.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 #s(literal 2 binary64)))
(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y)))
(.f64 (.f64 (sqrt.f64 (.f64 (pow.f64 (exp.f64 t) t) z)) (-.f64 (.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 #s(literal 2 binary64)))
(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y)))
(.f64 (.f64 (sqrt.f64 (.f64 (pow.f64 (exp.f64 t) t) z)) (-.f64 (.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 #s(literal 2 binary64)))
(* (sqrt (* z (exp (pow t 2)))) (sqrt 2))
(.f64 (sqrt.f64 (.f64 (pow.f64 (exp.f64 t) t) z)) (sqrt.f64 #s(literal 2 binary64)))
(* (sqrt (* z (exp (pow t 2)))) (sqrt 2))
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(.f64 (neg.f64 x) (.f64 (sqrt.f64 z) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64)) (/.f64 (*.f64 y (sqrt.f64 #s(literal 2 binary64))) x))))
(* -1 (* x (+ (* -1/2 (* (sqrt z) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt z)))))
(.f64 (neg.f64 x) (.f64 (sqrt.f64 z) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64)) (/.f64 (*.f64 y (sqrt.f64 #s(literal 2 binary64))) x))))
(* -1 (* x (+ (* -1/2 (* (sqrt z) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt z)))))
(.f64 (neg.f64 x) (.f64 (sqrt.f64 z) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64)) (/.f64 (*.f64 y (sqrt.f64 #s(literal 2 binary64))) x))))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))

rewrite351.0ms (2.2%)

Memory

-24.5MiB live, 214.1MiB allocated

Rules

6 422×	`lower-fma.f32`
6 412×	`lower-fma.f64`
5 080×	`lower-*.f32`
5 048×	`lower-*.f64`
4 200×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	50	313
0	85	303
1	259	303
2	1384	303
0	8497	303

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Counts

24 → 435

Calls

Call 1

Inputs
(.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) (pow.f64 #s(approx (exp t) (+.f64 #s(literal 1 binary64) t)) t)) z)))
(-.f64 (*.f64 #s(literal 1/2 binary64) x) y)
(*.f64 #s(literal 1/2 binary64) x)
(sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) (pow.f64 #s(approx (exp t) (+.f64 #s(literal 1 binary64) t)) t)) z))
(.f64 (.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ ( t t) 2)) #s(literal 1 binary64)))
(.f64 #s(approx (- ( x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
#s(approx (- (* x 1/2) y) (neg.f64 y))
(neg.f64 y)
(.f64 (.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
(.f64 (.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64)))
(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 z))
(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(.f64 (.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (.f64 t t) #s(literal 1 binary64))) (-.f64 (.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (.f64 z #s(literal 2 binary64))))
(.f64 #s(approx (exp (/ ( t t) 2)) (fma.f64 (fma.f64 (.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (.f64 t t) #s(literal 1 binary64))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y))
#s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (.f64 t t) #s(literal 1 binary64)))
(fma.f64 (fma.f64 (.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (.f64 t t) #s(literal 1 binary64))
(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 t t) #s(literal 1/8 binary64)) (.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))))
(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
(*.f64 x #s(literal 1/2 binary64))
#s(approx (exp t) (+.f64 #s(literal 1 binary64) t))
(.f64 (.f64 #s(literal 2 binary64) (pow.f64 #s(approx (exp t) (+.f64 #s(literal 1 binary64) t)) t)) z)
#s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))
#s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 t t) #s(literal 1/8 binary64)) (.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))
(fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64))

Outputs
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eval192.0ms (1.2%)

Memory: 36.3MiB live, 339.5MiB allocated
Compiler: Compiled 34 489 to 2 241 computations (93.5% saved)

prune146.0ms (0.9%)

Memory

1.6MiB live, 165.0MiB allocated

Pruning

40 alts after pruning (39 fresh and 1 done)

	Pruned	Kept	Total
New	1 252	22	1 274
Fresh	7	17	24
Picked	4	1	5
Done	0	0	0
Total	1 263	40	1 303

Accuracy

100.0%

Counts

1 303 → 40

Alt Table

Click to see full alt table

Status	Accuracy	Program
	46.9%	(/.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/4 binary64) (.f64 (neg.f64 y) y)) (.f64 #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))) (fma.f64 x #s(literal 1/2 binary64) y))
	51.8%	(/.f64 (.f64 #s(approx (exp (/ ( t t) 2)) #s(literal 1 binary64)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y))))
	89.7%	(.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 t t) #s(literal 1/2 binary64)) (.f64 t t) #s(literal 1 binary64))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))))
	39.0%	(.f64 (/.f64 (-.f64 (.f64 (.f64 (.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (.f64 (.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (.f64 z #s(literal 2 binary64))))) (.f64 (.f64 (neg.f64 y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (.f64 (neg.f64 y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))))) (-.f64 (.f64 (.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (.f64 (neg.f64 y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
	80.1%	(.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (.f64 (fma.f64 (.f64 t t) z z) #s(literal 2 binary64)))))
▶	51.9%	(.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z))))
	51.7%	(.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) #s(approx (sqrt (* (* 2 (pow (exp t) t)) z)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z))))
	44.2%	(.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/4 binary64) (.f64 (neg.f64 y) y)) (/.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (fma.f64 x #s(literal 1/2 binary64) y))) #s(approx (exp (/ ( t t) 2)) #s(literal 1 binary64)))
	51.7%	(.f64 (.f64 (/.f64 (sqrt.f64 z) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)))) (sqrt.f64 #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
▶	99.1%	(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (exp.f64 (.f64 (.f64 t t) #s(literal 1/2 binary64))))
	94.6%	(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/48 binary64) t) t #s(literal 1/8 binary64)) (.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))))
	94.4%	(.f64 (.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 t t) #s(literal 1/8 binary64)) (.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))))
	27.4%	(.f64 (.f64 (.f64 #s(approx (- ( x 1/2) y) (neg.f64 y)) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
	92.0%	(.f64 (.f64 (.f64 #s(approx (exp (/ ( t t) 2)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 t t) #s(literal 1/2 binary64)) (.f64 t t) #s(literal 1 binary64))) (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y))) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64)))
	27.5%	(.f64 (.f64 (sqrt.f64 z) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (- ( x 1/2) y) (neg.f64 y)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
▶	26.4%	(.f64 (.f64 #s(approx (- (* x 1/2) y) (/.f64 (neg.f64 (.f64 y y)) y)) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
	55.8%	(.f64 (.f64 #s(approx (- (* x 1/2) y) (.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1 binary64)) y)) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
	51.9%	(.f64 (.f64 #s(approx (- (* x 1/2) y) (.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 y x)) x)) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
▶	59.3%	(.f64 (.f64 #s(approx (- (* x 1/2) y) (.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 t t) #s(literal 1/8 binary64)) (.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))))
	55.5%	(.f64 (.f64 #s(approx (- (* x 1/2) y) (.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 t t) #s(literal 1/2 binary64)) (.f64 t t) #s(literal 1 binary64))))
	26.7%	(.f64 (.f64 #s(approx (- (* x 1/2) y) (.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
	56.5%	(.f64 (.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ ( t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 t t) #s(literal 1/8 binary64)) (.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))))
	52.4%	(.f64 (.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ ( t t) 2)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 t t) #s(literal 1/2 binary64)) (.f64 t t) #s(literal 1 binary64))))
	44.8%	(.f64 (.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ ( t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))))
✓	27.5%	(.f64 (.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ ( t t) 2)) #s(literal 1 binary64)))
	56.7%	(.f64 (.f64 #s(approx (* (- (* x 1/2) y) (sqrt z)) (.f64 (.f64 (sqrt.f64 z) (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1 binary64))) y)) (sqrt.f64 #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
	97.2%	(.f64 (.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 t t) #s(literal 1/8 binary64)) (.f64 t t) #s(literal 1/2 binary64)) (.f64 t t) #s(literal 1 binary64))) (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y))) (sqrt.f64 (.f64 z #s(literal 2 binary64))))
	58.1%	(.f64 (.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (.f64 t t) #s(literal 1 binary64))) #s(approx (- (* x 1/2) y) (.f64 x #s(literal 1/2 binary64)))) (sqrt.f64 (.f64 z #s(literal 2 binary64))))
	54.6%	(.f64 (.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (.f64 t t) #s(literal 1 binary64))) #s(approx (- (* x 1/2) y) (neg.f64 y))) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
▶	92.2%	(.f64 (.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 t t) #s(literal 1/2 binary64)) t) t #s(literal 1 binary64))) (-.f64 (.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (.f64 z #s(literal 2 binary64))))
	82.7%	(.f64 (.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))) (-.f64 (.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
	64.5%	(.f64 #s(approx (- ( 1/2 x) y) (.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 t) t)) z)))
	64.3%	(.f64 #s(approx (- ( 1/2 x) y) (.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (.f64 (*.f64 #s(literal 2 binary64) (pow.f64 #s(approx (exp t) (+.f64 #s(literal 1 binary64) t)) t)) z)))
	62.7%	(.f64 #s(approx (- ( 1/2 x) y) (neg.f64 y)) (sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) (pow.f64 #s(approx (exp t) (+.f64 #s(literal 1 binary64) t)) t)) z)))
	59.2%	(.f64 #s(approx ( (- (* x 1/2) y) (sqrt (* z 2))) (.f64 (.f64 (.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64)) (sqrt.f64 z))) #s(approx (exp (/ ( t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 t t) #s(literal 1/8 binary64)) (.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))))
	55.5%	(.f64 #s(approx ( (- (* x 1/2) y) (sqrt (* z 2))) (.f64 (.f64 x (.f64 #s(literal 1/2 binary64) (sqrt.f64 z))) (sqrt.f64 #s(literal 2 binary64)))) #s(approx (exp (/ ( t t) 2)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 t t) #s(literal 1/2 binary64)) (.f64 t t) #s(literal 1 binary64))))
	56.4%	(.f64 #s(approx ( (- (* x 1/2) y) (sqrt (* z 2))) (.f64 (neg.f64 y) (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 t t) #s(literal 1/8 binary64)) (.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))))
	52.3%	(.f64 #s(approx ( (- (* x 1/2) y) (sqrt (* z 2))) (.f64 (neg.f64 y) (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 t t) #s(literal 1/2 binary64)) (.f64 t t) #s(literal 1 binary64))))
	27.5%	(.f64 #s(approx ( (- (* x 1/2) y) (sqrt (* z 2))) (.f64 (neg.f64 y) (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
	51.7%	#s(approx (* (- (* 1/2 x) y) (sqrt (* (* 2 (pow (exp t) t)) z))) (.f64 (.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)))

Compiler

Compiled 1 577 to 1 343 computations (14.8% saved)

simplify113.0ms (0.7%)

Memory

-38.0MiB live, 96.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 x #s(literal 1/2 binary64))
cost-diff	0	#s(approx (- (* x 1/2) y) (*.f64 x #s(literal 1/2 binary64)))
cost-diff	0	(.f64 #s(approx (- ( x 1/2) y) (.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (.f64 z #s(literal 2 binary64))))
cost-diff	0	(.f64 (.f64 #s(approx (- (* x 1/2) y) (.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 t t) #s(literal 1/8 binary64)) (.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))))
cost-diff	0	(fma.f64 (.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 t t) #s(literal 1/2 binary64)) t) t #s(literal 1 binary64))
cost-diff	0	#s(approx (exp (/ (* t t) 2)) (fma.f64 (.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 t t) #s(literal 1/2 binary64)) t) t #s(literal 1 binary64)))
cost-diff	0	(.f64 #s(approx (exp (/ ( t t) 2)) (fma.f64 (.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 t t) #s(literal 1/2 binary64)) t) t #s(literal 1 binary64))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y))
cost-diff	0	(.f64 (.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 t t) #s(literal 1/2 binary64)) t) t #s(literal 1 binary64))) (-.f64 (.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (.f64 z #s(literal 2 binary64))))
cost-diff	0	#s(approx (- (* x 1/2) y) (/.f64 (neg.f64 (*.f64 y y)) y))
cost-diff	0	(.f64 #s(approx (- ( x 1/2) y) (/.f64 (neg.f64 (.f64 y y)) y)) (sqrt.f64 (.f64 z #s(literal 2 binary64))))
cost-diff	0	(.f64 (.f64 #s(approx (- (* x 1/2) y) (/.f64 (neg.f64 (.f64 y y)) y)) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
cost-diff	1024	(/.f64 (neg.f64 (*.f64 y y)) y)
cost-diff	0	(sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z)))
cost-diff	0	(*.f64 #s(literal 1/2 binary64) x)
cost-diff	0	(-.f64 (*.f64 #s(literal 1/2 binary64) x) y)
cost-diff	0	(.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z))))
cost-diff	0	(*.f64 x #s(literal 1/2 binary64))
cost-diff	0	(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
cost-diff	0	(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
cost-diff	0	(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (exp.f64 (.f64 (.f64 t t) #s(literal 1/2 binary64))))

Rules

4 204×	`lower-*.f32`
4 170×	`lower-*.f64`
3 474×	`lower-fma.f32`
3 464×	`lower-fma.f64`
2 566×	`lower-neg.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	53	469
0	88	462
1	152	460
2	263	444
3	537	444
4	1202	444
5	2888	444
6	3953	444
0	8108	444

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Calls

Call 1

Inputs
(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (exp.f64 (.f64 (.f64 t t) #s(literal 1/2 binary64))))
(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(*.f64 x #s(literal 1/2 binary64))
x
#s(literal 1/2 binary64)
y
(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
(*.f64 z #s(literal 2 binary64))
z
#s(literal 2 binary64)
(exp.f64 (.f64 (.f64 t t) #s(literal 1/2 binary64)))
(.f64 (.f64 t t) #s(literal 1/2 binary64))
(*.f64 t t)
t
(.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z))))
(-.f64 (*.f64 #s(literal 1/2 binary64) x) y)
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
x
y
(sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z)))
#s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z))
(*.f64 #s(literal 2 binary64) z)
#s(literal 2 binary64)
z
(.f64 (.f64 #s(approx (- (* x 1/2) y) (/.f64 (neg.f64 (.f64 y y)) y)) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
(.f64 #s(approx (- ( x 1/2) y) (/.f64 (neg.f64 (.f64 y y)) y)) (sqrt.f64 (.f64 z #s(literal 2 binary64))))
#s(approx (- (* x 1/2) y) (/.f64 (neg.f64 (*.f64 y y)) y))
(/.f64 (neg.f64 (*.f64 y y)) y)
(neg.f64 (*.f64 y y))
(*.f64 y y)
y
(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
(*.f64 z #s(literal 2 binary64))
z
#s(literal 2 binary64)
#s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))
#s(literal 1 binary64)
(.f64 (.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 t t) #s(literal 1/2 binary64)) t) t #s(literal 1 binary64))) (-.f64 (.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (.f64 z #s(literal 2 binary64))))
(.f64 #s(approx (exp (/ ( t t) 2)) (fma.f64 (.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 t t) #s(literal 1/2 binary64)) t) t #s(literal 1 binary64))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y))
#s(approx (exp (/ (* t t) 2)) (fma.f64 (.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 t t) #s(literal 1/2 binary64)) t) t #s(literal 1 binary64)))
(fma.f64 (.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 t t) #s(literal 1/2 binary64)) t) t #s(literal 1 binary64))
(.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 t t) #s(literal 1/2 binary64)) t)
(fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64))
#s(literal 1/8 binary64)
(*.f64 t t)
t
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(*.f64 x #s(literal 1/2 binary64))
x
y
(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
(*.f64 z #s(literal 2 binary64))
z
#s(literal 2 binary64)
(.f64 (.f64 #s(approx (- (* x 1/2) y) (.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 t t) #s(literal 1/8 binary64)) (.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))))
(.f64 #s(approx (- ( x 1/2) y) (.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (.f64 z #s(literal 2 binary64))))
#s(approx (- (* x 1/2) y) (*.f64 x #s(literal 1/2 binary64)))
(*.f64 x #s(literal 1/2 binary64))
x
#s(literal 1/2 binary64)
(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
(*.f64 z #s(literal 2 binary64))
z
#s(literal 2 binary64)
#s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 t t) #s(literal 1/8 binary64)) (.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 t t) #s(literal 1/8 binary64)) (.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 t t) #s(literal 1/8 binary64)) (.f64 t t) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64))
#s(literal 1/48 binary64)
(*.f64 t t)
t
#s(literal 1/8 binary64)
#s(literal 1 binary64)

Outputs
(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (exp.f64 (.f64 (.f64 t t) #s(literal 1/2 binary64))))
(.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) x y) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) (neg.f64 (sqrt.f64 (pow.f64 (exp.f64 t) t))))
(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
(.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) z)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))
(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(-.f64 (*.f64 #s(literal 1/2 binary64) x) y)
(*.f64 x #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) x)
x
#s(literal 1/2 binary64)
y
(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
(sqrt.f64 (*.f64 #s(literal 2 binary64) z))
(*.f64 z #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) z)
z
#s(literal 2 binary64)
(exp.f64 (.f64 (.f64 t t) #s(literal 1/2 binary64)))
(sqrt.f64 (pow.f64 (exp.f64 t) t))
(.f64 (.f64 t t) #s(literal 1/2 binary64))
(*.f64 t t)
t
(.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z))))
(.f64 (sqrt.f64 #s(approx ( (* 2 (pow (exp t) t)) z) (.f64 #s(literal 2 binary64) z))) (-.f64 (.f64 #s(literal 1/2 binary64) x) y))
(-.f64 (*.f64 #s(literal 1/2 binary64) x) y)
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
x
y
(sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z)))
#s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z))
(*.f64 #s(literal 2 binary64) z)
#s(literal 2 binary64)
z
(.f64 (.f64 #s(approx (- (* x 1/2) y) (/.f64 (neg.f64 (.f64 y y)) y)) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
(.f64 (.f64 #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) #s(approx (- (* x 1/2) y) (neg.f64 y))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))
(.f64 #s(approx (- ( x 1/2) y) (/.f64 (neg.f64 (.f64 y y)) y)) (sqrt.f64 (.f64 z #s(literal 2 binary64))))
(.f64 #s(approx (- ( x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))
#s(approx (- (* x 1/2) y) (/.f64 (neg.f64 (*.f64 y y)) y))
#s(approx (- (* x 1/2) y) (neg.f64 y))
(/.f64 (neg.f64 (*.f64 y y)) y)
(neg.f64 y)
(neg.f64 (*.f64 y y))
(*.f64 (neg.f64 y) y)
(*.f64 y y)
y
(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
(sqrt.f64 (*.f64 #s(literal 2 binary64) z))
(*.f64 z #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) z)
z
#s(literal 2 binary64)
#s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))
#s(literal 1 binary64)
(.f64 (.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 t t) #s(literal 1/2 binary64)) t) t #s(literal 1 binary64))) (-.f64 (.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (.f64 z #s(literal 2 binary64))))
(.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) x y) (sqrt.f64 (.f64 #s(literal 2 binary64) z))) (neg.f64 #s(approx (exp (/ ( t t) 2)) (fma.f64 (.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 t t) #s(literal 1/2 binary64)) t) t #s(literal 1 binary64)))))
(.f64 #s(approx (exp (/ ( t t) 2)) (fma.f64 (.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 t t) #s(literal 1/2 binary64)) t) t #s(literal 1 binary64))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y))
(.f64 #s(approx (exp (/ ( t t) 2)) (fma.f64 (.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 t t) #s(literal 1/2 binary64)) t) t #s(literal 1 binary64))) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))
#s(approx (exp (/ (* t t) 2)) (fma.f64 (.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 t t) #s(literal 1/2 binary64)) t) t #s(literal 1 binary64)))
(fma.f64 (.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 t t) #s(literal 1/2 binary64)) t) t #s(literal 1 binary64))
(.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 t t) #s(literal 1/2 binary64)) t)
(fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64))
#s(literal 1/8 binary64)
(*.f64 t t)
t
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(-.f64 (*.f64 #s(literal 1/2 binary64) x) y)
(*.f64 x #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) x)
x
y
(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
(sqrt.f64 (*.f64 #s(literal 2 binary64) z))
(*.f64 z #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) z)
z
#s(literal 2 binary64)
(.f64 (.f64 #s(approx (- (* x 1/2) y) (.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 t t) #s(literal 1/8 binary64)) (.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))))
(.f64 #s(approx (exp (/ ( t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 t t) #s(literal 1/8 binary64)) (.f64 t t) #s(literal 1/2 binary64)) (.f64 t t) #s(literal 1 binary64))) (.f64 #s(approx (- (* x 1/2) y) (.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 (.f64 #s(literal 2 binary64) z))))
(.f64 #s(approx (- ( x 1/2) y) (.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (.f64 z #s(literal 2 binary64))))
(.f64 #s(approx (- ( x 1/2) y) (.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 (.f64 #s(literal 2 binary64) z)))
#s(approx (- (* x 1/2) y) (*.f64 x #s(literal 1/2 binary64)))
#s(approx (- (* x 1/2) y) (*.f64 #s(literal 1/2 binary64) x))
(*.f64 x #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) x)
x
#s(literal 1/2 binary64)
(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
(sqrt.f64 (*.f64 #s(literal 2 binary64) z))
(*.f64 z #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) z)
z
#s(literal 2 binary64)
#s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 t t) #s(literal 1/8 binary64)) (.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 t t) #s(literal 1/8 binary64)) (.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 t t) #s(literal 1/8 binary64)) (.f64 t t) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64))
#s(literal 1/48 binary64)
(*.f64 t t)
t
#s(literal 1/8 binary64)
#s(literal 1 binary64)

localize156.0ms (1%)

Memory

17.4MiB live, 287.2MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.21875	(.f64 #s(approx (- ( x 1/2) y) (.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (.f64 z #s(literal 2 binary64))))
accuracy	0.5078083716604116	(.f64 (.f64 #s(approx (- (* x 1/2) y) (.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 t t) #s(literal 1/8 binary64)) (.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))))
accuracy	4.956268273473217	#s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 t t) #s(literal 1/8 binary64)) (.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))
accuracy	30.9398518152749	#s(approx (- (* x 1/2) y) (*.f64 x #s(literal 1/2 binary64)))
accuracy	0.03125	(fma.f64 (.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 t t) #s(literal 1/2 binary64)) t) t #s(literal 1 binary64))
accuracy	0.05859375	(.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 t t) #s(literal 1/2 binary64)) t)
accuracy	0.09375	(.f64 (.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 t t) #s(literal 1/2 binary64)) t) t #s(literal 1 binary64))) (-.f64 (.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (.f64 z #s(literal 2 binary64))))
accuracy	8.412886140426826	#s(approx (exp (/ (* t t) 2)) (fma.f64 (.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 t t) #s(literal 1/2 binary64)) t) t #s(literal 1 binary64)))
accuracy	0.5078083716604116	(.f64 (.f64 #s(approx (- (* x 1/2) y) (/.f64 (neg.f64 (.f64 y y)) y)) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
accuracy	29.14247308377177	(/.f64 (neg.f64 (*.f64 y y)) y)
accuracy	31.719492430101532	#s(approx (- (* x 1/2) y) (/.f64 (neg.f64 (*.f64 y y)) y))
accuracy	32.90196826644707	#s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))
accuracy	0	(*.f64 #s(literal 1/2 binary64) x)
accuracy	0.0078125	(sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z)))
accuracy	0.09375	(.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z))))
accuracy	32.83260843711176	#s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z))
accuracy	0	(exp.f64 (.f64 (.f64 t t) #s(literal 1/2 binary64)))
accuracy	0.01171875	(.f64 (.f64 t t) #s(literal 1/2 binary64))
accuracy	0.21875	(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
accuracy	0.5078083716604116	(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (exp.f64 (.f64 (.f64 t t) #s(literal 1/2 binary64))))

Samples

114.0ms

256×

valid

Compiler

Compiled 362 to 48 computations (86.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 70.0ms

ival-mult: 37.0ms (52.6% of total)

ival-pow: 6.0ms (8.5% of total)

ival-add: 5.0ms (7.1% of total)

ival-exp: 5.0ms (7.1% of total)

const: 4.0ms (5.7% of total)

ival-div: 3.0ms (4.3% of total)

ival-sqrt: 3.0ms (4.3% of total)

ival-neg: 3.0ms (4.3% of total)

ival-sub: 2.0ms (2.8% of total)

exact: 1.0ms (1.4% of total)

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

series124.0ms (0.8%)

Memory

24.2MiB live, 224.4MiB allocated

Counts

25 → 648

Calls

Call 1

Inputs
#s(alt (.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (exp.f64 (.f64 (.f64 t t) #s(literal 1/2 binary64)))) (patch (.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (exp.f64 (.f64 (.f64 t t) #s(literal 1/2 binary64)))) #<representation binary64>) () ())
#s(alt (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (patch (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #<representation binary64>) () ())
#s(alt (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (patch (-.f64 (.f64 x #s(literal 1/2 binary64)) y) #<representation binary64>) () ())
#s(alt (.f64 x #s(literal 1/2 binary64)) (patch (.f64 x #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (.f64 #s(literal 2 binary64) z)))) (patch (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 #s(approx ( (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z)))) #<representation binary64>) () ())
#s(alt (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (patch (-.f64 (.f64 #s(literal 1/2 binary64) x) y) #<representation binary64>) () ())
#s(alt (.f64 #s(literal 1/2 binary64) x) (patch (.f64 #s(literal 1/2 binary64) x) #<representation binary64>) () ())
#s(alt (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (.f64 #s(literal 2 binary64) z))) (patch (sqrt.f64 #s(approx ( (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z))) #<representation binary64>) () ())
#s(alt (/.f64 (neg.f64 (.f64 y y)) y) (patch (/.f64 (neg.f64 (.f64 y y)) y) #<representation binary64>) () ())
#s(alt (.f64 (.f64 #s(approx (- (* x 1/2) y) (/.f64 (neg.f64 (.f64 y y)) y)) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) (patch (.f64 (.f64 #s(approx (- (* x 1/2) y) (/.f64 (neg.f64 (.f64 y y)) y)) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (.f64 #s(approx (- ( x 1/2) y) (/.f64 (neg.f64 (.f64 y y)) y)) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (patch (.f64 #s(approx (- ( x 1/2) y) (/.f64 (neg.f64 (.f64 y y)) y)) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (- (* x 1/2) y) (/.f64 (neg.f64 (.f64 y y)) y)) (patch #s(approx (- ( x 1/2) y) (/.f64 (neg.f64 (*.f64 y y)) y)) #<representation binary64>) () ())
#s(alt (.f64 (.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 t t) #s(literal 1/2 binary64)) t) t #s(literal 1 binary64))) (-.f64 (.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (patch (.f64 (.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 t t) #s(literal 1/2 binary64)) t) t #s(literal 1 binary64))) (-.f64 (.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #<representation binary64>) () ())
#s(alt (.f64 #s(approx (exp (/ ( t t) 2)) (fma.f64 (.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 t t) #s(literal 1/2 binary64)) t) t #s(literal 1 binary64))) (-.f64 (.f64 x #s(literal 1/2 binary64)) y)) (patch (.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 t t) #s(literal 1/2 binary64)) t) t #s(literal 1 binary64))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) #<representation binary64>) () ())
#s(alt #s(approx (exp (/ (* t t) 2)) (fma.f64 (.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 t t) #s(literal 1/2 binary64)) t) t #s(literal 1 binary64))) (patch #s(approx (exp (/ (* t t) 2)) (fma.f64 (.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 t t) #s(literal 1/2 binary64)) t) t #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 t t) #s(literal 1/2 binary64)) t) t #s(literal 1 binary64)) (patch (fma.f64 (.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 t t) #s(literal 1/2 binary64)) t) t #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (.f64 (.f64 #s(approx (- (* x 1/2) y) (.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 t t) #s(literal 1/8 binary64)) (.f64 t t) #s(literal 1/2 binary64)) (.f64 t t) #s(literal 1 binary64)))) (patch (.f64 (.f64 #s(approx (- ( x 1/2) y) (.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 t t) #s(literal 1/8 binary64)) (.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt (.f64 #s(approx (- ( x 1/2) y) (.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (patch (.f64 #s(approx (- ( x 1/2) y) (.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (- (* x 1/2) y) (.f64 x #s(literal 1/2 binary64))) (patch #s(approx (- ( x 1/2) y) (*.f64 x #s(literal 1/2 binary64))) #<representation binary64>) () ())
#s(alt (.f64 (.f64 t t) #s(literal 1/2 binary64)) (patch (.f64 (.f64 t t) #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt (exp.f64 (.f64 (.f64 t t) #s(literal 1/2 binary64))) (patch (exp.f64 (.f64 (.f64 t t) #s(literal 1/2 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (* (* 2 (pow (exp t) t)) z) (.f64 #s(literal 2 binary64) z)) (patch #s(approx ( (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z)) #<representation binary64>) () ())
#s(alt #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) (patch #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 t t) #s(literal 1/2 binary64)) t) (patch (.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 t t) #s(literal 1/2 binary64)) t) #<representation binary64>) () ())
#s(alt #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 t t) #s(literal 1/8 binary64)) (.f64 t t) #s(literal 1/2 binary64)) (.f64 t t) #s(literal 1 binary64))) (patch #s(approx (exp (/ ( t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 t t) #s(literal 1/8 binary64)) (.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) #<representation binary64>) () ())

Outputs
#s(alt (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (taylor 0 t) (#s(alt (.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (exp.f64 (.f64 (.f64 t t) #s(literal 1/2 binary64)))) (patch (.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (exp.f64 (.f64 (.f64 t t) #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (taylor 0 t) (#s(alt (.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (exp.f64 (.f64 (.f64 t t) #s(literal 1/2 binary64)))) (patch (.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (exp.f64 (.f64 (.f64 t t) #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (* (pow t 2) (+ (* 1/8 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))))))) (taylor 0 t) (#s(alt (.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (exp.f64 (.f64 (.f64 t t) #s(literal 1/2 binary64)))) (patch (.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (exp.f64 (.f64 (.f64 t t) #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (* (pow t 2) (+ (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (* (pow t 2) (+ (* 1/48 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* 1/8 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))))))))) (taylor 0 t) (#s(alt (.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (exp.f64 (.f64 (.f64 t t) #s(literal 1/2 binary64)))) (patch (.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (exp.f64 (.f64 (.f64 t t) #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (taylor 0 t) (#s(alt (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (.f64 #s(literal 2 binary64) z)))) (patch (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 #s(approx ( (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z)))) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (taylor 0 t) (#s(alt (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (.f64 #s(literal 2 binary64) z)))) (patch (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 #s(approx ( (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z)))) #<representation binary64>) () ())) ())
#s(alt (+ (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (* (pow t 2) (+ (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (* 1/2 (* (* (pow t 2) (* (sqrt 2) (* (- (* 1/2 x) y) (- (* 1/2 z) (* 1/4 z))))) (sqrt (/ 1 z))))))) (taylor 0 t) (#s(alt (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (.f64 #s(literal 2 binary64) z)))) (patch (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 #s(approx ( (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z)))) #<representation binary64>) () ())) ())
#s(alt (+ (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (* (pow t 2) (+ (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (* (pow t 2) (+ (* 1/2 (* (sqrt (/ 1 z)) (* (sqrt 2) (* (- (* 1/2 x) y) (- (* 1/2 z) (* 1/4 z)))))) (* 1/2 (* (* (pow t 2) (* (sqrt 2) (* (- (* 1/6 z) (* 1/2 (- (* 1/2 z) (* 1/4 z)))) (- (* 1/2 x) y)))) (sqrt (/ 1 z))))))))) (taylor 0 t) (#s(alt (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (.f64 #s(literal 2 binary64) z)))) (patch (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 #s(approx ( (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z)))) #<representation binary64>) () ())) ())
#s(alt (* (sqrt z) (sqrt 2)) (taylor 0 t) (#s(alt (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (.f64 #s(literal 2 binary64) z))) (patch (sqrt.f64 #s(approx ( (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z))) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 (* (* (pow t 2) (sqrt 2)) (sqrt z))) (* (sqrt z) (sqrt 2))) (taylor 0 t) (#s(alt (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (.f64 #s(literal 2 binary64) z))) (patch (sqrt.f64 #s(approx ( (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z))) #<representation binary64>) () ())) ())
#s(alt (+ (* (sqrt z) (sqrt 2)) (* (pow t 2) (+ (* 1/2 (* (sqrt z) (sqrt 2))) (* 1/2 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 z) (* 1/4 z)))) (sqrt (/ 1 z))))))) (taylor 0 t) (#s(alt (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (.f64 #s(literal 2 binary64) z))) (patch (sqrt.f64 #s(approx ( (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z))) #<representation binary64>) () ())) ())
#s(alt (+ (* (sqrt z) (sqrt 2)) (* (pow t 2) (+ (* 1/2 (* (sqrt z) (sqrt 2))) (* (pow t 2) (+ (* 1/2 (* (sqrt (/ 1 z)) (* (sqrt 2) (- (* 1/2 z) (* 1/4 z))))) (* 1/2 (* (* (pow t 2) (* (sqrt 2) (- (* 1/6 z) (* 1/2 (- (* 1/2 z) (* 1/4 z)))))) (sqrt (/ 1 z))))))))) (taylor 0 t) (#s(alt (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (.f64 #s(literal 2 binary64) z))) (patch (sqrt.f64 #s(approx ( (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z))) #<representation binary64>) () ())) ())
#s(alt (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (taylor 0 t) (#s(alt (.f64 (.f64 #s(approx (- (* x 1/2) y) (/.f64 (neg.f64 (.f64 y y)) y)) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) (patch (.f64 (.f64 #s(approx (- (* x 1/2) y) (/.f64 (neg.f64 (.f64 y y)) y)) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (taylor 0 t) (#s(alt (.f64 (.f64 #s(approx (- (* x 1/2) y) (/.f64 (neg.f64 (.f64 y y)) y)) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) (patch (.f64 (.f64 #s(approx (- (* x 1/2) y) (/.f64 (neg.f64 (.f64 y y)) y)) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (* (pow t 2) (+ (* 1/8 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))))))) (taylor 0 t) (#s(alt (.f64 (.f64 #s(approx (- (* x 1/2) y) (/.f64 (neg.f64 (.f64 y y)) y)) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) (patch (.f64 (.f64 #s(approx (- (* x 1/2) y) (/.f64 (neg.f64 (.f64 y y)) y)) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
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#s(alt (* 1/2 x) (taylor -inf x) (#s(alt #s(approx (- (* x 1/2) y) (.f64 x #s(literal 1/2 binary64))) (patch #s(approx (- ( x 1/2) y) (*.f64 x #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ y x) 1/2))) (taylor -inf x) (#s(alt #s(approx (- (* x 1/2) y) (.f64 x #s(literal 1/2 binary64))) (patch #s(approx (- ( x 1/2) y) (*.f64 x #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ y x) 1/2))) (taylor -inf x) (#s(alt #s(approx (- (* x 1/2) y) (.f64 x #s(literal 1/2 binary64))) (patch #s(approx (- ( x 1/2) y) (*.f64 x #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ y x) 1/2))) (taylor -inf x) (#s(alt #s(approx (- (* x 1/2) y) (.f64 x #s(literal 1/2 binary64))) (patch #s(approx (- ( x 1/2) y) (*.f64 x #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())

Calls

12 calls:

Time	Variable		Point	Expression
14.0ms	z	@	-inf	((* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (* (* t t) 1/2))) (* (- (* x 1/2) y) (sqrt (* z 2))) (- (* x 1/2) y) (* x 1/2) (* (- (* 1/2 x) y) (sqrt (* (* 2 (pow (exp t) t)) z))) (- (* 1/2 x) y) (* 1/2 x) (sqrt (* (* 2 (pow (exp t) t)) z)) (/ (neg (* y y)) y) (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (- (* x 1/2) y) (sqrt (* z 2))) (- (* x 1/2) y) (* (* (exp (/ (* t t) 2)) (- (* x 1/2) y)) (sqrt (* z 2))) (* (exp (/ (* t t) 2)) (- (* x 1/2) y)) (exp (/ (* t t) 2)) (+ (* (* (+ (* 1/8 (* t t)) 1/2) t) t) 1) (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (- (* x 1/2) y) (sqrt (* z 2))) (- (* x 1/2) y) (* (* t t) 1/2) (exp (* (* t t) 1/2)) (* (* 2 (pow (exp t) t)) z) (exp (/ (* t t) 2)) (* (+ (* 1/8 (* t t)) 1/2) t) (exp (/ (* t t) 2)))
13.0ms	z	@	0	((* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (* (* t t) 1/2))) (* (- (* x 1/2) y) (sqrt (* z 2))) (- (* x 1/2) y) (* x 1/2) (* (- (* 1/2 x) y) (sqrt (* (* 2 (pow (exp t) t)) z))) (- (* 1/2 x) y) (* 1/2 x) (sqrt (* (* 2 (pow (exp t) t)) z)) (/ (neg (* y y)) y) (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (- (* x 1/2) y) (sqrt (* z 2))) (- (* x 1/2) y) (* (* (exp (/ (* t t) 2)) (- (* x 1/2) y)) (sqrt (* z 2))) (* (exp (/ (* t t) 2)) (- (* x 1/2) y)) (exp (/ (* t t) 2)) (+ (* (* (+ (* 1/8 (* t t)) 1/2) t) t) 1) (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (- (* x 1/2) y) (sqrt (* z 2))) (- (* x 1/2) y) (* (* t t) 1/2) (exp (* (* t t) 1/2)) (* (* 2 (pow (exp t) t)) z) (exp (/ (* t t) 2)) (* (+ (* 1/8 (* t t)) 1/2) t) (exp (/ (* t t) 2)))
9.0ms	z	@	inf	((* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (* (* t t) 1/2))) (* (- (* x 1/2) y) (sqrt (* z 2))) (- (* x 1/2) y) (* x 1/2) (* (- (* 1/2 x) y) (sqrt (* (* 2 (pow (exp t) t)) z))) (- (* 1/2 x) y) (* 1/2 x) (sqrt (* (* 2 (pow (exp t) t)) z)) (/ (neg (* y y)) y) (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (- (* x 1/2) y) (sqrt (* z 2))) (- (* x 1/2) y) (* (* (exp (/ (* t t) 2)) (- (* x 1/2) y)) (sqrt (* z 2))) (* (exp (/ (* t t) 2)) (- (* x 1/2) y)) (exp (/ (* t t) 2)) (+ (* (* (+ (* 1/8 (* t t)) 1/2) t) t) 1) (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (- (* x 1/2) y) (sqrt (* z 2))) (- (* x 1/2) y) (* (* t t) 1/2) (exp (* (* t t) 1/2)) (* (* 2 (pow (exp t) t)) z) (exp (/ (* t t) 2)) (* (+ (* 1/8 (* t t)) 1/2) t) (exp (/ (* t t) 2)))
8.0ms	y	@	-inf	((* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (* (* t t) 1/2))) (* (- (* x 1/2) y) (sqrt (* z 2))) (- (* x 1/2) y) (* x 1/2) (* (- (* 1/2 x) y) (sqrt (* (* 2 (pow (exp t) t)) z))) (- (* 1/2 x) y) (* 1/2 x) (sqrt (* (* 2 (pow (exp t) t)) z)) (/ (neg (* y y)) y) (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (- (* x 1/2) y) (sqrt (* z 2))) (- (* x 1/2) y) (* (* (exp (/ (* t t) 2)) (- (* x 1/2) y)) (sqrt (* z 2))) (* (exp (/ (* t t) 2)) (- (* x 1/2) y)) (exp (/ (* t t) 2)) (+ (* (* (+ (* 1/8 (* t t)) 1/2) t) t) 1) (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (- (* x 1/2) y) (sqrt (* z 2))) (- (* x 1/2) y) (* (* t t) 1/2) (exp (* (* t t) 1/2)) (* (* 2 (pow (exp t) t)) z) (exp (/ (* t t) 2)) (* (+ (* 1/8 (* t t)) 1/2) t) (exp (/ (* t t) 2)))
6.0ms	t	@	-inf	((* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (* (* t t) 1/2))) (* (- (* x 1/2) y) (sqrt (* z 2))) (- (* x 1/2) y) (* x 1/2) (* (- (* 1/2 x) y) (sqrt (* (* 2 (pow (exp t) t)) z))) (- (* 1/2 x) y) (* 1/2 x) (sqrt (* (* 2 (pow (exp t) t)) z)) (/ (neg (* y y)) y) (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (- (* x 1/2) y) (sqrt (* z 2))) (- (* x 1/2) y) (* (* (exp (/ (* t t) 2)) (- (* x 1/2) y)) (sqrt (* z 2))) (* (exp (/ (* t t) 2)) (- (* x 1/2) y)) (exp (/ (* t t) 2)) (+ (* (* (+ (* 1/8 (* t t)) 1/2) t) t) 1) (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (- (* x 1/2) y) (sqrt (* z 2))) (- (* x 1/2) y) (* (* t t) 1/2) (exp (* (* t t) 1/2)) (* (* 2 (pow (exp t) t)) z) (exp (/ (* t t) 2)) (* (+ (* 1/8 (* t t)) 1/2) t) (exp (/ (* t t) 2)))

simplify280.0ms (1.7%)

Memory

-23.8MiB live, 257.4MiB allocated

Algorithm

1×	egg-herbie

Rules

14 044×	`lower-fma.f64`
14 044×	`lower-fma.f32`
7 904×	`lower-*.f64`
7 904×	`lower-*.f32`
2 794×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	292	9575
1	998	9399
2	3521	8467
3	6711	8467
0	8016	8371

Stop Event

1×	iter limit
1×	node limit

Counts

648 → 648

Calls

Call 1

Inputs
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))
(+ (* 1/2 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))))
(+ (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (* (pow t 2) (+ (* 1/8 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))))))
(+ (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (* (pow t 2) (+ (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (* (pow t 2) (+ (* 1/48 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* 1/8 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))))))))
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))
(+ (* 1/2 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))))
(+ (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (* (pow t 2) (+ (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (* 1/2 (* (* (pow t 2) (* (sqrt 2) (* (- (* 1/2 x) y) (- (* 1/2 z) (* 1/4 z))))) (sqrt (/ 1 z)))))))
(+ (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (* (pow t 2) (+ (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (* (pow t 2) (+ (* 1/2 (* (sqrt (/ 1 z)) (* (sqrt 2) (* (- (* 1/2 x) y) (- (* 1/2 z) (* 1/4 z)))))) (* 1/2 (* (* (pow t 2) (* (sqrt 2) (* (- (* 1/6 z) (* 1/2 (- (* 1/2 z) (* 1/4 z)))) (- (* 1/2 x) y)))) (sqrt (/ 1 z)))))))))
(* (sqrt z) (sqrt 2))
(+ (* 1/2 (* (* (pow t 2) (sqrt 2)) (sqrt z))) (* (sqrt z) (sqrt 2)))
(+ (* (sqrt z) (sqrt 2)) (* (pow t 2) (+ (* 1/2 (* (sqrt z) (sqrt 2))) (* 1/2 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 z) (* 1/4 z)))) (sqrt (/ 1 z)))))))
(+ (* (sqrt z) (sqrt 2)) (* (pow t 2) (+ (* 1/2 (* (sqrt z) (sqrt 2))) (* (pow t 2) (+ (* 1/2 (* (sqrt (/ 1 z)) (* (sqrt 2) (- (* 1/2 z) (* 1/4 z))))) (* 1/2 (* (* (pow t 2) (* (sqrt 2) (- (* 1/6 z) (* 1/2 (- (* 1/2 z) (* 1/4 z)))))) (sqrt (/ 1 z)))))))))
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))
(+ (* 1/2 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))))
(+ (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (* (pow t 2) (+ (* 1/8 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))))))
(+ (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (* (pow t 2) (+ (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (* (pow t 2) (+ (* 1/48 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* 1/8 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))))))))
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))
(+ (* 1/2 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))))
(+ (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (* (pow t 2) (+ (* 1/8 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))))))
(+ (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (* (pow t 2) (+ (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (* (pow t 2) (+ (* 1/48 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* 1/8 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))))))))
(- (* 1/2 x) y)
(- (+ (* 1/2 x) (* 1/2 (* (pow t 2) (- (* 1/2 x) y)))) y)
(- (+ (* 1/2 x) (* (pow t 2) (+ (* 1/8 (* (pow t 2) (- (* 1/2 x) y))) (* 1/2 (- (* 1/2 x) y))))) y)
(- (+ (* 1/2 x) (* (pow t 2) (+ (* 1/2 (- (* 1/2 x) y)) (* (pow t 2) (+ (* 1/48 (* (pow t 2) (- (* 1/2 x) y))) (* 1/8 (- (* 1/2 x) y))))))) y)
1
(+ 1 (* 1/2 (pow t 2)))
(+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2)))))
(+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2)))))))
1
(+ 1 (* 1/2 (pow t 2)))
(+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2)))))
(+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2)))))
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))
(+ (* 1/2 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))))
(+ (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (* (pow t 2) (+ (* 1/8 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))))))
(+ (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (* (pow t 2) (+ (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (* (pow t 2) (+ (* 1/48 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* 1/8 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))))))))
(* 1/2 (pow t 2))
(* 1/2 (pow t 2))
(* 1/2 (pow t 2))
(* 1/2 (pow t 2))
1
(+ 1 (* 1/2 (pow t 2)))
(+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2)))))
(+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2)))))))
(* 2 z)
(+ (* 2 z) (* 2 (* (pow t 2) z)))
(+ (* 2 z) (* (pow t 2) (+ (* 2 z) (* (pow t 2) z))))
(+ (* 2 z) (* (pow t 2) (+ (* 2 z) (* (pow t 2) (+ z (* 1/3 (* (pow t 2) z)))))))
1
(+ 1 (* 1/2 (pow t 2)))
(+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2)))))
(+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2)))))))
(* 1/2 t)
(* t (+ 1/2 (* 1/8 (pow t 2))))
(* t (+ 1/2 (* 1/8 (pow t 2))))
(* t (+ 1/2 (* 1/8 (pow t 2))))
1
(+ 1 (* 1/2 (pow t 2)))
(+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2)))))
(+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2)))))))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y)))
(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y)))
(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y)))
(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y)))
(* (sqrt (* z (exp (pow t 2)))) (sqrt 2))
(* (sqrt (* z (exp (pow t 2)))) (sqrt 2))
(* (sqrt (* z (exp (pow t 2)))) (sqrt 2))
(* (sqrt (* z (exp (pow t 2)))) (sqrt 2))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(* (exp (* 1/2 (pow t 2))) (- (* 1/2 x) y))
(* (exp (* 1/2 (pow t 2))) (- (* 1/2 x) y))
(* (exp (* 1/2 (pow t 2))) (- (* 1/2 x) y))
(* (exp (* 1/2 (pow t 2))) (- (* 1/2 x) y))
(exp (* 1/2 (pow t 2)))
(exp (* 1/2 (pow t 2)))
(exp (* 1/2 (pow t 2)))
(exp (* 1/2 (pow t 2)))
(* 1/8 (pow t 4))
(* (pow t 4) (+ 1/8 (* 1/2 (/ 1 (pow t 2)))))
(* (pow t 4) (+ 1/8 (+ (* 1/2 (/ 1 (pow t 2))) (/ 1 (pow t 4)))))
(* (pow t 4) (+ 1/8 (+ (* 1/2 (/ 1 (pow t 2))) (/ 1 (pow t 4)))))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(* 1/2 (pow t 2))
(* 1/2 (pow t 2))
(* 1/2 (pow t 2))
(* 1/2 (pow t 2))
(exp (* 1/2 (pow t 2)))
(exp (* 1/2 (pow t 2)))
(exp (* 1/2 (pow t 2)))
(exp (* 1/2 (pow t 2)))
(* 2 (* z (exp (pow t 2))))
(* 2 (* z (exp (pow t 2))))
(* 2 (* z (exp (pow t 2))))
(* 2 (* z (exp (pow t 2))))
(exp (* 1/2 (pow t 2)))
(exp (* 1/2 (pow t 2)))
(exp (* 1/2 (pow t 2)))
(exp (* 1/2 (pow t 2)))
(* 1/8 (pow t 3))
(* (pow t 3) (+ 1/8 (* 1/2 (/ 1 (pow t 2)))))
(* (pow t 3) (+ 1/8 (* 1/2 (/ 1 (pow t 2)))))
(* (pow t 3) (+ 1/8 (* 1/2 (/ 1 (pow t 2)))))
(exp (* 1/2 (pow t 2)))
(exp (* 1/2 (pow t 2)))
(exp (* 1/2 (pow t 2)))
(exp (* 1/2 (pow t 2)))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y)))
(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y)))
(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y)))
(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y)))
(* (sqrt (* z (exp (pow t 2)))) (sqrt 2))
(* (sqrt (* z (exp (pow t 2)))) (sqrt 2))
(* (sqrt (* z (exp (pow t 2)))) (sqrt 2))
(* (sqrt (* z (exp (pow t 2)))) (sqrt 2))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(* (exp (* 1/2 (pow t 2))) (- (* 1/2 x) y))
(* (exp (* 1/2 (pow t 2))) (- (* 1/2 x) y))
(* (exp (* 1/2 (pow t 2))) (- (* 1/2 x) y))
(* (exp (* 1/2 (pow t 2))) (- (* 1/2 x) y))
(exp (* 1/2 (pow t 2)))
(exp (* 1/2 (pow t 2)))
(exp (* 1/2 (pow t 2)))
(exp (* 1/2 (pow t 2)))
(* 1/8 (pow t 4))
(* (pow t 4) (+ 1/8 (* 1/2 (/ 1 (pow t 2)))))
(* (pow t 4) (+ 1/8 (+ (* 1/2 (/ 1 (pow t 2))) (/ 1 (pow t 4)))))
(* (pow t 4) (+ 1/8 (+ (* 1/2 (/ 1 (pow t 2))) (/ 1 (pow t 4)))))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(* 1/2 (pow t 2))
(* 1/2 (pow t 2))
(* 1/2 (pow t 2))
(* 1/2 (pow t 2))
(exp (* 1/2 (pow t 2)))
(exp (* 1/2 (pow t 2)))
(exp (* 1/2 (pow t 2)))
(exp (* 1/2 (pow t 2)))
(* 2 (* z (exp (pow t 2))))
(* 2 (* z (exp (pow t 2))))
(* 2 (* z (exp (pow t 2))))
(* 2 (* z (exp (pow t 2))))
(exp (* 1/2 (pow t 2)))
(exp (* 1/2 (pow t 2)))
(exp (* 1/2 (pow t 2)))
(exp (* 1/2 (pow t 2)))
(* 1/8 (pow t 3))
(* (pow t 3) (+ 1/8 (* 1/2 (/ 1 (pow t 2)))))
(* (pow t 3) (+ 1/8 (* 1/2 (/ 1 (pow t 2)))))
(* (pow t 3) (+ 1/8 (* 1/2 (/ 1 (pow t 2)))))
(exp (* 1/2 (pow t 2)))
(exp (* 1/2 (pow t 2)))
(exp (* 1/2 (pow t 2)))
(exp (* 1/2 (pow t 2)))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))
(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y)))
(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y)))
(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y)))
(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y)))
(* (sqrt (* z (exp (pow t 2)))) (sqrt 2))
(* (sqrt (* z (exp (pow t 2)))) (sqrt 2))
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(* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt z))) (* (sqrt z) (sqrt 2)))))
(* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt z))) (* (sqrt z) (sqrt 2)))))
(* -1 y)
(* -1 (* y (+ 1 (* -1/2 (/ x y)))))
(* -1 (* y (+ 1 (* -1/2 (/ x y)))))
(* -1 (* y (+ 1 (* -1/2 (/ x y)))))
(* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))
(+ (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))))
(+ (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))))
(+ (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))))
(* -1 (* (* y (sqrt 2)) (sqrt z)))
(+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z))))
(+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z))))
(+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z))))
(* -1 y)
(- (* 1/2 x) y)
(- (* 1/2 x) y)
(- (* 1/2 x) y)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2))))))
(+ (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2)))))))
(+ (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2)))))))
(+ (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2)))))))
(* -1 y)
(- (* 1/2 x) y)
(- (* 1/2 x) y)
(- (* 1/2 x) y)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))
(+ (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))))
(+ (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))))
(+ (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))))
(* -1 (* (* y (sqrt 2)) (sqrt z)))
(+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z))))
(+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z))))
(+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z))))
(* -1 y)
(- (* 1/2 x) y)
(- (* 1/2 x) y)
(- (* 1/2 x) y)
(* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))
(+ (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))))
(+ (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))))
(+ (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))))
(* -1 (* y (exp (* 1/2 (pow t 2)))))
(+ (* -1 (* y (exp (* 1/2 (pow t 2))))) (* 1/2 (* x (exp (* 1/2 (pow t 2))))))
(+ (* -1 (* y (exp (* 1/2 (pow t 2))))) (* 1/2 (* x (exp (* 1/2 (pow t 2))))))
(+ (* -1 (* y (exp (* 1/2 (pow t 2))))) (* 1/2 (* x (exp (* 1/2 (pow t 2))))))
(* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))
(+ (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))))
(+ (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))))
(+ (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))))
(* -1 (* (* y (sqrt 2)) (sqrt z)))
(+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z))))
(+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z))))
(+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z))))
(* -1 y)
(- (* 1/2 x) y)
(- (* 1/2 x) y)
(- (* 1/2 x) y)
(* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))
(* x (+ (* -1 (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z))) (* 1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2))))))
(* x (+ (* -1 (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z))) (* 1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2))))))
(* x (+ (* -1 (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z))) (* 1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2))))))
(* 1/2 (* (* x (sqrt 2)) (sqrt z)))
(* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt z))) (* 1/2 (* (sqrt z) (sqrt 2)))))
(* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt z))) (* 1/2 (* (sqrt z) (sqrt 2)))))
(* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt z))) (* 1/2 (* (sqrt z) (sqrt 2)))))
(* 1/2 x)
(* x (+ 1/2 (* -1 (/ y x))))
(* x (+ 1/2 (* -1 (/ y x))))
(* x (+ 1/2 (* -1 (/ y x))))
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2))))))
(* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2)))))
(* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2)))))
(* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2)))))
(* 1/2 x)
(* x (+ 1/2 (* -1 (/ y x))))
(* x (+ 1/2 (* -1 (/ y x))))
(* x (+ 1/2 (* -1 (/ y x))))
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))
(* x (+ (* -1 (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z))) (* 1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2))))))
(* x (+ (* -1 (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z))) (* 1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2))))))
(* x (+ (* -1 (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z))) (* 1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2))))))
(* 1/2 (* (* x (sqrt 2)) (sqrt z)))
(* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt z))) (* 1/2 (* (sqrt z) (sqrt 2)))))
(* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt z))) (* 1/2 (* (sqrt z) (sqrt 2)))))
(* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt z))) (* 1/2 (* (sqrt z) (sqrt 2)))))
(* 1/2 x)
(* x (+ 1/2 (* -1 (/ y x))))
(* x (+ 1/2 (* -1 (/ y x))))
(* x (+ 1/2 (* -1 (/ y x))))
(* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))
(* x (+ (* -1 (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z))) (* 1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2))))))
(* x (+ (* -1 (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z))) (* 1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2))))))
(* x (+ (* -1 (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z))) (* 1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2))))))
(* 1/2 (* x (exp (* 1/2 (pow t 2)))))
(* x (+ (* -1 (/ (* y (exp (* 1/2 (pow t 2)))) x)) (* 1/2 (exp (* 1/2 (pow t 2))))))
(* x (+ (* -1 (/ (* y (exp (* 1/2 (pow t 2)))) x)) (* 1/2 (exp (* 1/2 (pow t 2))))))
(* x (+ (* -1 (/ (* y (exp (* 1/2 (pow t 2)))) x)) (* 1/2 (exp (* 1/2 (pow t 2))))))
(* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))
(* x (+ (* -1 (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z))) (* 1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2))))))
(* x (+ (* -1 (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z))) (* 1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2))))))
(* x (+ (* -1 (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z))) (* 1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2))))))
(* 1/2 (* (* x (sqrt 2)) (sqrt z)))
(* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt z))) (* 1/2 (* (sqrt z) (sqrt 2)))))
(* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt z))) (* 1/2 (* (sqrt z) (sqrt 2)))))
(* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt z))) (* 1/2 (* (sqrt z) (sqrt 2)))))
(* 1/2 x)
(* x (+ 1/2 (* -1 (/ y x))))
(* x (+ 1/2 (* -1 (/ y x))))
(* x (+ 1/2 (* -1 (/ y x))))
(* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))
(* -1 (* x (+ (* -1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z)))))
(* -1 (* x (+ (* -1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z)))))
(* -1 (* x (+ (* -1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z)))))
(* 1/2 (* (* x (sqrt 2)) (sqrt z)))
(* -1 (* x (+ (* -1/2 (* (sqrt z) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt z)))))
(* -1 (* x (+ (* -1/2 (* (sqrt z) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt z)))))
(* -1 (* x (+ (* -1/2 (* (sqrt z) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt z)))))
(* 1/2 x)
(* -1 (* x (- (/ y x) 1/2)))
(* -1 (* x (- (/ y x) 1/2)))
(* -1 (* x (- (/ y x) 1/2)))
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2))))))
(* -1 (* x (+ (* -1/2 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 2))))))))
(* -1 (* x (+ (* -1/2 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 2))))))))
(* -1 (* x (+ (* -1/2 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 2))))))))
(* 1/2 x)
(* -1 (* x (- (/ y x) 1/2)))
(* -1 (* x (- (/ y x) 1/2)))
(* -1 (* x (- (/ y x) 1/2)))
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))
(* -1 (* x (+ (* -1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z)))))
(* -1 (* x (+ (* -1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z)))))
(* -1 (* x (+ (* -1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z)))))
(* 1/2 (* (* x (sqrt 2)) (sqrt z)))
(* -1 (* x (+ (* -1/2 (* (sqrt z) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt z)))))
(* -1 (* x (+ (* -1/2 (* (sqrt z) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt z)))))
(* -1 (* x (+ (* -1/2 (* (sqrt z) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt z)))))
(* 1/2 x)
(* -1 (* x (- (/ y x) 1/2)))
(* -1 (* x (- (/ y x) 1/2)))
(* -1 (* x (- (/ y x) 1/2)))
(* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))
(* -1 (* x (+ (* -1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z)))))
(* -1 (* x (+ (* -1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z)))))
(* -1 (* x (+ (* -1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z)))))
(* 1/2 (* x (exp (* 1/2 (pow t 2)))))
(* -1 (* x (+ (* -1/2 (exp (* 1/2 (pow t 2)))) (/ (* y (exp (* 1/2 (pow t 2)))) x))))
(* -1 (* x (+ (* -1/2 (exp (* 1/2 (pow t 2)))) (/ (* y (exp (* 1/2 (pow t 2)))) x))))
(* -1 (* x (+ (* -1/2 (exp (* 1/2 (pow t 2)))) (/ (* y (exp (* 1/2 (pow t 2)))) x))))
(* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))
(* -1 (* x (+ (* -1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z)))))
(* -1 (* x (+ (* -1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z)))))
(* -1 (* x (+ (* -1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z)))))
(* 1/2 (* (* x (sqrt 2)) (sqrt z)))
(* -1 (* x (+ (* -1/2 (* (sqrt z) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt z)))))
(* -1 (* x (+ (* -1/2 (* (sqrt z) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt z)))))
(* -1 (* x (+ (* -1/2 (* (sqrt z) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt z)))))
(* 1/2 x)
(* -1 (* x (- (/ y x) 1/2)))
(* -1 (* x (- (/ y x) 1/2)))
(* -1 (* x (- (/ y x) 1/2)))

Outputs
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))
(.f64 (.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z))
(+ (* 1/2 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))))
(.f64 (fma.f64 (.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (.f64 (.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)))
(+ (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (* (pow t 2) (+ (* 1/8 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))))))
(fma.f64 (.f64 (.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) (fma.f64 #s(literal 1/8 binary64) (.f64 t t) #s(literal 1/2 binary64))) (.f64 t t) (.f64 (.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)))
(+ (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (* (pow t 2) (+ (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (* (pow t 2) (+ (* 1/48 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* 1/8 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))))))))
(fma.f64 (pow.f64 t #s(literal 4 binary64)) (.f64 (.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) (fma.f64 #s(literal 1/48 binary64) (.f64 t t) #s(literal 1/8 binary64))) (.f64 (fma.f64 (.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z))))
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))
(.f64 (.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z))
(+ (* 1/2 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))))
(.f64 (fma.f64 (.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (.f64 (.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)))
(+ (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (* (pow t 2) (+ (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (* 1/2 (* (* (pow t 2) (* (sqrt 2) (* (- (* 1/2 x) y) (- (* 1/2 z) (* 1/4 z))))) (sqrt (/ 1 z)))))))
(fma.f64 (.f64 (.f64 t t) (.f64 (.f64 (.f64 t t) #s(literal 1/2 binary64)) (.f64 (.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) #s(literal 1/4 binary64)) z) (sqrt.f64 #s(literal 2 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (.f64 (fma.f64 (.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z))))
(+ (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (* (pow t 2) (+ (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (* (pow t 2) (+ (* 1/2 (* (sqrt (/ 1 z)) (* (sqrt 2) (* (- (* 1/2 x) y) (- (* 1/2 z) (* 1/4 z)))))) (* 1/2 (* (* (pow t 2) (* (sqrt 2) (* (- (* 1/6 z) (* 1/2 (- (* 1/2 z) (* 1/4 z)))) (- (* 1/2 x) y)))) (sqrt (/ 1 z)))))))))
(fma.f64 (pow.f64 t #s(literal 4 binary64)) (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64)) (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/4 binary64) z (.f64 (.f64 z #s(literal 1/24 binary64)) (.f64 t t)))))) (.f64 (fma.f64 (.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (.f64 (.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z))))
(* (sqrt z) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z))
(+ (* 1/2 (* (* (pow t 2) (sqrt 2)) (sqrt z))) (* (sqrt z) (sqrt 2)))
(.f64 (fma.f64 (.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z)))
(+ (* (sqrt z) (sqrt 2)) (* (pow t 2) (+ (* 1/2 (* (sqrt z) (sqrt 2))) (* 1/2 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 z) (* 1/4 z)))) (sqrt (/ 1 z)))))))
(fma.f64 (.f64 (.f64 t t) #s(literal 1/2 binary64)) (fma.f64 (.f64 (.f64 t t) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (sqrt.f64 #s(literal 2 binary64)))) (.f64 #s(literal 1/4 binary64) z) (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z)))
(+ (* (sqrt z) (sqrt 2)) (* (pow t 2) (+ (* 1/2 (* (sqrt z) (sqrt 2))) (* (pow t 2) (+ (* 1/2 (* (sqrt (/ 1 z)) (* (sqrt 2) (- (* 1/2 z) (* 1/4 z))))) (* 1/2 (* (* (pow t 2) (* (sqrt 2) (- (* 1/6 z) (* 1/2 (- (* 1/2 z) (* 1/4 z)))))) (sqrt (/ 1 z)))))))))
(fma.f64 (pow.f64 t #s(literal 4 binary64)) (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/4 binary64) z (.f64 (.f64 z #s(literal 1/24 binary64)) (.f64 t t))))) (.f64 (fma.f64 (.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z))))
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))
(.f64 (.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z))
(+ (* 1/2 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))))
(.f64 (fma.f64 (.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (.f64 (.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)))
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(.f64 (neg.f64 x) (.f64 (sqrt.f64 z) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64)) (/.f64 (*.f64 y (sqrt.f64 #s(literal 2 binary64))) x))))
(* -1 (* x (+ (* -1/2 (* (sqrt z) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt z)))))
(.f64 (neg.f64 x) (.f64 (sqrt.f64 z) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64)) (/.f64 (*.f64 y (sqrt.f64 #s(literal 2 binary64))) x))))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* -1 (* x (- (/ y x) 1/2)))
(*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 y x)) x)
(* -1 (* x (- (/ y x) 1/2)))
(*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 y x)) x)
(* -1 (* x (- (/ y x) 1/2)))
(*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 y x)) x)
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2))))))
(.f64 (.f64 (.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64)) (sqrt.f64 (.f64 (pow.f64 (exp.f64 t) t) z)))
(* -1 (* x (+ (* -1/2 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 2))))))))
(.f64 (neg.f64 x) (.f64 (sqrt.f64 (.f64 (pow.f64 (exp.f64 t) t) z)) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64)) (/.f64 (.f64 y (sqrt.f64 #s(literal 2 binary64))) x))))
(* -1 (* x (+ (* -1/2 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 2))))))))
(.f64 (neg.f64 x) (.f64 (sqrt.f64 (.f64 (pow.f64 (exp.f64 t) t) z)) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64)) (/.f64 (.f64 y (sqrt.f64 #s(literal 2 binary64))) x))))
(* -1 (* x (+ (* -1/2 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 2))))))))
(.f64 (neg.f64 x) (.f64 (sqrt.f64 (.f64 (pow.f64 (exp.f64 t) t) z)) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64)) (/.f64 (.f64 y (sqrt.f64 #s(literal 2 binary64))) x))))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* -1 (* x (- (/ y x) 1/2)))
(*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 y x)) x)
(* -1 (* x (- (/ y x) 1/2)))
(*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 y x)) x)
(* -1 (* x (- (/ y x) 1/2)))
(*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 y x)) x)
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))
(.f64 (.f64 x (.f64 #s(literal 1/2 binary64) (sqrt.f64 z))) (.f64 (sqrt.f64 (pow.f64 (exp.f64 t) t)) (sqrt.f64 #s(literal 2 binary64))))
(* -1 (* x (+ (* -1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z)))))
(.f64 (neg.f64 x) (.f64 (sqrt.f64 z) (fma.f64 #s(literal -1/2 binary64) (.f64 (sqrt.f64 (pow.f64 (exp.f64 t) t)) (sqrt.f64 #s(literal 2 binary64))) (.f64 (*.f64 (sqrt.f64 (pow.f64 (exp.f64 t) t)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 y x)))))
(* -1 (* x (+ (* -1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z)))))
(.f64 (neg.f64 x) (.f64 (sqrt.f64 z) (fma.f64 #s(literal -1/2 binary64) (.f64 (sqrt.f64 (pow.f64 (exp.f64 t) t)) (sqrt.f64 #s(literal 2 binary64))) (.f64 (*.f64 (sqrt.f64 (pow.f64 (exp.f64 t) t)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 y x)))))
(* -1 (* x (+ (* -1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z)))))
(.f64 (neg.f64 x) (.f64 (sqrt.f64 z) (fma.f64 #s(literal -1/2 binary64) (.f64 (sqrt.f64 (pow.f64 (exp.f64 t) t)) (sqrt.f64 #s(literal 2 binary64))) (.f64 (*.f64 (sqrt.f64 (pow.f64 (exp.f64 t) t)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 y x)))))
(* 1/2 (* (* x (sqrt 2)) (sqrt z)))
(.f64 (.f64 x (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z))) (sqrt.f64 #s(literal 2 binary64)))
(* -1 (* x (+ (* -1/2 (* (sqrt z) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt z)))))
(.f64 (neg.f64 x) (.f64 (sqrt.f64 z) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64)) (/.f64 (*.f64 y (sqrt.f64 #s(literal 2 binary64))) x))))
(* -1 (* x (+ (* -1/2 (* (sqrt z) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt z)))))
(.f64 (neg.f64 x) (.f64 (sqrt.f64 z) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64)) (/.f64 (*.f64 y (sqrt.f64 #s(literal 2 binary64))) x))))
(* -1 (* x (+ (* -1/2 (* (sqrt z) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt z)))))
(.f64 (neg.f64 x) (.f64 (sqrt.f64 z) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64)) (/.f64 (*.f64 y (sqrt.f64 #s(literal 2 binary64))) x))))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* -1 (* x (- (/ y x) 1/2)))
(*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 y x)) x)
(* -1 (* x (- (/ y x) 1/2)))
(*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 y x)) x)
(* -1 (* x (- (/ y x) 1/2)))
(*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 y x)) x)
(* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))
(.f64 (.f64 x (.f64 #s(literal 1/2 binary64) (sqrt.f64 z))) (.f64 (sqrt.f64 (pow.f64 (exp.f64 t) t)) (sqrt.f64 #s(literal 2 binary64))))
(* -1 (* x (+ (* -1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z)))))
(.f64 (neg.f64 x) (.f64 (sqrt.f64 z) (fma.f64 #s(literal -1/2 binary64) (.f64 (sqrt.f64 (pow.f64 (exp.f64 t) t)) (sqrt.f64 #s(literal 2 binary64))) (.f64 (*.f64 (sqrt.f64 (pow.f64 (exp.f64 t) t)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 y x)))))
(* -1 (* x (+ (* -1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z)))))
(.f64 (neg.f64 x) (.f64 (sqrt.f64 z) (fma.f64 #s(literal -1/2 binary64) (.f64 (sqrt.f64 (pow.f64 (exp.f64 t) t)) (sqrt.f64 #s(literal 2 binary64))) (.f64 (*.f64 (sqrt.f64 (pow.f64 (exp.f64 t) t)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 y x)))))
(* -1 (* x (+ (* -1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z)))))
(.f64 (neg.f64 x) (.f64 (sqrt.f64 z) (fma.f64 #s(literal -1/2 binary64) (.f64 (sqrt.f64 (pow.f64 (exp.f64 t) t)) (sqrt.f64 #s(literal 2 binary64))) (.f64 (*.f64 (sqrt.f64 (pow.f64 (exp.f64 t) t)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 y x)))))
(* 1/2 (* x (exp (* 1/2 (pow t 2)))))
(.f64 (sqrt.f64 (pow.f64 (exp.f64 t) t)) (.f64 x #s(literal 1/2 binary64)))
(* -1 (* x (+ (* -1/2 (exp (* 1/2 (pow t 2)))) (/ (* y (exp (* 1/2 (pow t 2)))) x))))
(.f64 (.f64 (sqrt.f64 (pow.f64 (exp.f64 t) t)) (-.f64 #s(literal 1/2 binary64) (/.f64 y x))) x)
(* -1 (* x (+ (* -1/2 (exp (* 1/2 (pow t 2)))) (/ (* y (exp (* 1/2 (pow t 2)))) x))))
(.f64 (.f64 (sqrt.f64 (pow.f64 (exp.f64 t) t)) (-.f64 #s(literal 1/2 binary64) (/.f64 y x))) x)
(* -1 (* x (+ (* -1/2 (exp (* 1/2 (pow t 2)))) (/ (* y (exp (* 1/2 (pow t 2)))) x))))
(.f64 (.f64 (sqrt.f64 (pow.f64 (exp.f64 t) t)) (-.f64 #s(literal 1/2 binary64) (/.f64 y x))) x)
(* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))
(.f64 (.f64 x (.f64 #s(literal 1/2 binary64) (sqrt.f64 z))) (.f64 (sqrt.f64 (pow.f64 (exp.f64 t) t)) (sqrt.f64 #s(literal 2 binary64))))
(* -1 (* x (+ (* -1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z)))))
(.f64 (neg.f64 x) (.f64 (sqrt.f64 z) (fma.f64 #s(literal -1/2 binary64) (.f64 (sqrt.f64 (pow.f64 (exp.f64 t) t)) (sqrt.f64 #s(literal 2 binary64))) (.f64 (*.f64 (sqrt.f64 (pow.f64 (exp.f64 t) t)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 y x)))))
(* -1 (* x (+ (* -1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z)))))
(.f64 (neg.f64 x) (.f64 (sqrt.f64 z) (fma.f64 #s(literal -1/2 binary64) (.f64 (sqrt.f64 (pow.f64 (exp.f64 t) t)) (sqrt.f64 #s(literal 2 binary64))) (.f64 (*.f64 (sqrt.f64 (pow.f64 (exp.f64 t) t)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 y x)))))
(* -1 (* x (+ (* -1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z)))))
(.f64 (neg.f64 x) (.f64 (sqrt.f64 z) (fma.f64 #s(literal -1/2 binary64) (.f64 (sqrt.f64 (pow.f64 (exp.f64 t) t)) (sqrt.f64 #s(literal 2 binary64))) (.f64 (*.f64 (sqrt.f64 (pow.f64 (exp.f64 t) t)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 y x)))))
(* 1/2 (* (* x (sqrt 2)) (sqrt z)))
(.f64 (.f64 x (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z))) (sqrt.f64 #s(literal 2 binary64)))
(* -1 (* x (+ (* -1/2 (* (sqrt z) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt z)))))
(.f64 (neg.f64 x) (.f64 (sqrt.f64 z) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64)) (/.f64 (*.f64 y (sqrt.f64 #s(literal 2 binary64))) x))))
(* -1 (* x (+ (* -1/2 (* (sqrt z) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt z)))))
(.f64 (neg.f64 x) (.f64 (sqrt.f64 z) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64)) (/.f64 (*.f64 y (sqrt.f64 #s(literal 2 binary64))) x))))
(* -1 (* x (+ (* -1/2 (* (sqrt z) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt z)))))
(.f64 (neg.f64 x) (.f64 (sqrt.f64 z) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64)) (/.f64 (*.f64 y (sqrt.f64 #s(literal 2 binary64))) x))))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* -1 (* x (- (/ y x) 1/2)))
(*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 y x)) x)
(* -1 (* x (- (/ y x) 1/2)))
(*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 y x)) x)
(* -1 (* x (- (/ y x) 1/2)))
(*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 y x)) x)

rewrite383.0ms (2.4%)

Memory

5.7MiB live, 200.1MiB allocated

Rules

5 662×	`lower-fma.f32`
5 652×	`lower-fma.f64`
4 898×	`lower-*.f32`
4 864×	`lower-*.f64`
3 824×	`lower-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	53	341
0	88	332
1	264	331
2	1324	315
0	8217	315

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Counts

25 → 418

Calls

Call 1

Inputs
(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (exp.f64 (.f64 (.f64 t t) #s(literal 1/2 binary64))))
(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(*.f64 x #s(literal 1/2 binary64))
(.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z))))
(-.f64 (*.f64 #s(literal 1/2 binary64) x) y)
(*.f64 #s(literal 1/2 binary64) x)
(sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z)))
(/.f64 (neg.f64 (*.f64 y y)) y)
(.f64 (.f64 #s(approx (- (* x 1/2) y) (/.f64 (neg.f64 (.f64 y y)) y)) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
(.f64 #s(approx (- ( x 1/2) y) (/.f64 (neg.f64 (.f64 y y)) y)) (sqrt.f64 (.f64 z #s(literal 2 binary64))))
#s(approx (- (* x 1/2) y) (/.f64 (neg.f64 (*.f64 y y)) y))
(.f64 (.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 t t) #s(literal 1/2 binary64)) t) t #s(literal 1 binary64))) (-.f64 (.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (.f64 z #s(literal 2 binary64))))
(.f64 #s(approx (exp (/ ( t t) 2)) (fma.f64 (.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 t t) #s(literal 1/2 binary64)) t) t #s(literal 1 binary64))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y))
#s(approx (exp (/ (* t t) 2)) (fma.f64 (.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 t t) #s(literal 1/2 binary64)) t) t #s(literal 1 binary64)))
(fma.f64 (.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 t t) #s(literal 1/2 binary64)) t) t #s(literal 1 binary64))
(.f64 (.f64 #s(approx (- (* x 1/2) y) (.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 t t) #s(literal 1/8 binary64)) (.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))))
(.f64 #s(approx (- ( x 1/2) y) (.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (.f64 z #s(literal 2 binary64))))
#s(approx (- (* x 1/2) y) (*.f64 x #s(literal 1/2 binary64)))
(.f64 (.f64 t t) #s(literal 1/2 binary64))
(exp.f64 (.f64 (.f64 t t) #s(literal 1/2 binary64)))
#s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z))
#s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))
(.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 t t) #s(literal 1/2 binary64)) t)
#s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 t t) #s(literal 1/8 binary64)) (.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))

Outputs
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eval259.0ms (1.6%)

Memory: 20.0MiB live, 239.3MiB allocated
Compiler: Compiled 29 382 to 2 023 computations (93.1% saved)

prune331.0ms (2.1%)

Memory

-14.9MiB live, 154.9MiB allocated

Pruning

39 alts after pruning (36 fresh and 3 done)

	Pruned	Kept	Total
New	1 155	14	1 169
Fresh	12	22	34
Picked	2	3	5
Done	1	0	1
Total	1 170	39	1 209

Accuracy

100.0%

Counts

1 209 → 39

Alt Table

Click to see full alt table

Status	Accuracy	Program
	39.0%	(/.f64 (-.f64 (.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) (sqrt.f64 #s(approx ( (* 2 (pow (exp t) t)) z) (.f64 #s(literal 2 binary64) z)))) (.f64 (.f64 #s(literal 1/2 binary64) x) (sqrt.f64 #s(approx ( (* 2 (pow (exp t) t)) z) (.f64 #s(literal 2 binary64) z))))) (.f64 (.f64 (neg.f64 y) (sqrt.f64 #s(approx ( (* 2 (pow (exp t) t)) z) (.f64 #s(literal 2 binary64) z)))) (.f64 (neg.f64 y) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (.f64 #s(literal 2 binary64) z)))))) (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) (sqrt.f64 #s(approx ( (* 2 (pow (exp t) t)) z) (.f64 #s(literal 2 binary64) z)))) (.f64 (neg.f64 y) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z))))))
	46.9%	(/.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/4 binary64) (.f64 (neg.f64 y) y)) (sqrt.f64 #s(approx ( (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z)))) (fma.f64 #s(literal 1/2 binary64) x y))
	51.8%	(/.f64 (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (.f64 #s(literal 2 binary64) z))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) x) y)))
	89.7%	(.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 t t) #s(literal 1/2 binary64)) (.f64 t t) #s(literal 1 binary64))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))))
	80.1%	(.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (.f64 (fma.f64 (.f64 t t) z z) #s(literal 2 binary64)))))
✓	51.9%	(.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z))))
	51.7%	(.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) #s(approx (sqrt (* (* 2 (pow (exp t) t)) z)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z))))
	44.2%	(.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/4 binary64) (.f64 (neg.f64 y) y)) (/.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (fma.f64 x #s(literal 1/2 binary64) y))) #s(approx (exp (/ ( t t) 2)) #s(literal 1 binary64)))
	51.7%	(.f64 (.f64 (/.f64 (sqrt.f64 z) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)))) (sqrt.f64 #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
	94.6%	(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/48 binary64) t) t #s(literal 1/8 binary64)) (.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))))
	59.2%	(.f64 (.f64 (.f64 #s(approx (- ( x 1/2) y) (.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) #s(approx (exp (/ ( t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 t t) #s(literal 1/8 binary64)) (.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))))
	27.4%	(.f64 (.f64 (.f64 #s(approx (- ( x 1/2) y) (neg.f64 y)) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
	27.5%	(.f64 (.f64 (sqrt.f64 z) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (- ( x 1/2) y) (neg.f64 y)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
✓	26.4%	(.f64 (.f64 #s(approx (- (* x 1/2) y) (/.f64 (neg.f64 (.f64 y y)) y)) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
	63.3%	(.f64 (.f64 #s(approx (- (* x 1/2) y) (.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (exp.f64 (.f64 (.f64 t t) #s(literal 1/2 binary64))))
✓	59.3%	(.f64 (.f64 #s(approx (- (* x 1/2) y) (.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 t t) #s(literal 1/8 binary64)) (.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))))
	55.5%	(.f64 (.f64 #s(approx (- (* x 1/2) y) (.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 t t) #s(literal 1/2 binary64)) (.f64 t t) #s(literal 1 binary64))))
	49.4%	(.f64 (.f64 #s(approx (- (* x 1/2) y) (.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))))
	60.2%	(.f64 (.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (exp.f64 (.f64 (*.f64 t t) #s(literal 1/2 binary64))))
	56.5%	(.f64 (.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ ( t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 t t) #s(literal 1/8 binary64)) (.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))))
	52.4%	(.f64 (.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ ( t t) 2)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 t t) #s(literal 1/2 binary64)) (.f64 t t) #s(literal 1 binary64))))
	44.8%	(.f64 (.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ ( t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))))
	97.2%	(.f64 (.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 t t) #s(literal 1/8 binary64)) (.f64 t t) #s(literal 1/2 binary64)) (.f64 t t) #s(literal 1 binary64))) (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y))) (sqrt.f64 (.f64 z #s(literal 2 binary64))))
	61.9%	(.f64 (.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 t t) #s(literal 1/8 binary64)) (.f64 t t) #s(literal 1/2 binary64)) (.f64 t t) #s(literal 1 binary64))) #s(approx (- ( x 1/2) y) (.f64 #s(literal 1/2 binary64) x))) (sqrt.f64 (.f64 #s(literal 2 binary64) z)))
	58.1%	(.f64 (.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 t t) #s(literal 1/2 binary64)) t) t #s(literal 1 binary64))) #s(approx (- (* x 1/2) y) (.f64 x #s(literal 1/2 binary64)))) (sqrt.f64 (.f64 z #s(literal 2 binary64))))
	54.6%	(.f64 (.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 t t) #s(literal 1/2 binary64)) t) t #s(literal 1 binary64))) #s(approx (- (* x 1/2) y) (neg.f64 y))) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
	82.7%	(.f64 (.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))) (-.f64 (.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
	55.8%	(.f64 #s(approx (- ( 1/2 x) y) (.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1 binary64)) y)) (sqrt.f64 #s(approx ( (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z))))
	51.9%	(.f64 #s(approx (- ( 1/2 x) y) (.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 y x)) x)) (sqrt.f64 #s(approx ( (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z))))
	64.5%	(.f64 #s(approx (- ( 1/2 x) y) (.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 t) t)) z)))
	64.3%	(.f64 #s(approx (- ( 1/2 x) y) (.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (.f64 (*.f64 #s(literal 2 binary64) (pow.f64 #s(approx (exp t) (+.f64 #s(literal 1 binary64) t)) t)) z)))
	26.7%	(.f64 #s(approx (- ( 1/2 x) y) (.f64 x #s(literal 1/2 binary64))) (sqrt.f64 #s(approx ( (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z))))
	62.7%	(.f64 #s(approx (- ( 1/2 x) y) (neg.f64 y)) (sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) (pow.f64 #s(approx (exp t) (+.f64 #s(literal 1 binary64) t)) t)) z)))
	27.5%	(.f64 #s(approx (- ( 1/2 x) y) (neg.f64 y)) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z))))
	55.5%	(.f64 #s(approx ( (- (* x 1/2) y) (sqrt (* z 2))) (.f64 (.f64 x (.f64 #s(literal 1/2 binary64) (sqrt.f64 z))) (sqrt.f64 #s(literal 2 binary64)))) #s(approx (exp (/ ( t t) 2)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 t t) #s(literal 1/2 binary64)) (.f64 t t) #s(literal 1 binary64))))
	56.4%	(.f64 #s(approx ( (- (* x 1/2) y) (sqrt (* z 2))) (.f64 (neg.f64 y) (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 t t) #s(literal 1/8 binary64)) (.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))))
	52.3%	(.f64 #s(approx ( (- (* x 1/2) y) (sqrt (* z 2))) (.f64 (neg.f64 y) (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 t t) #s(literal 1/2 binary64)) (.f64 t t) #s(literal 1 binary64))))
	27.5%	(.f64 #s(approx ( (- (* x 1/2) y) (sqrt (* z 2))) (.f64 (neg.f64 y) (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
	51.7%	#s(approx (* (- (* 1/2 x) y) (sqrt (* (* 2 (pow (exp t) t)) z))) (.f64 (.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)))

Compiler

Compiled 2 365 to 932 computations (60.6% saved)

regimes650.0ms (4%)

Memory

-13.4MiB live, 519.1MiB allocated

Counts

79 → 1

Calls

Call 1

Inputs
(.f64 #s(approx (- ( 1/2 x) y) (neg.f64 y)) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z))))
(.f64 #s(approx (- ( 1/2 x) y) (.f64 x #s(literal 1/2 binary64))) (sqrt.f64 #s(approx ( (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z))))
(.f64 (.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ ( t t) 2)) #s(literal 1 binary64)))
(.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z))))
(.f64 (.f64 #s(approx (- (* x 1/2) y) (.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
(.f64 #s(approx ( (- (* x 1/2) y) (sqrt (* z 2))) (.f64 (neg.f64 y) (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
(.f64 (.f64 (sqrt.f64 z) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (- ( x 1/2) y) (neg.f64 y)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
(.f64 (.f64 (.f64 #s(approx (- ( x 1/2) y) (neg.f64 y)) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (.f64 (.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)))
#s(approx (* (- (* 1/2 x) y) (sqrt (* (* 2 (pow (exp t) t)) z))) (.f64 (.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)))
(.f64 (.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ ( t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))))
(.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) #s(approx (sqrt (* (* 2 (pow (exp t) t)) z)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z))))
(.f64 #s(approx (- ( 1/2 x) y) (.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 y x)) x)) (sqrt.f64 #s(approx ( (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z))))
(.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (.f64 (fma.f64 (.f64 t t) z z) #s(literal 2 binary64)))))
(.f64 (.f64 #s(approx (- (* x 1/2) y) (.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))))
(.f64 #s(approx (- ( 1/2 x) y) (.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1 binary64)) y)) (sqrt.f64 #s(approx ( (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z))))
(.f64 (.f64 #s(approx (- (* x 1/2) y) (/.f64 (neg.f64 (.f64 y y)) y)) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
(.f64 (.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
(.f64 (.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))) (-.f64 (.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
(.f64 (.f64 #s(approx (- (* x 1/2) y) (.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 y x)) x)) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))))
(/.f64 (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (.f64 #s(literal 2 binary64) z))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) x) y)))
(.f64 (.f64 #s(approx (- (* x 1/2) y) (.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1 binary64)) y)) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
(.f64 (.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 t t) #s(literal 1/2 binary64)) t) t #s(literal 1 binary64))) #s(approx (- (* x 1/2) y) (neg.f64 y))) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
(.f64 (.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (.f64 t t) #s(literal 1 binary64))) #s(approx (- (* x 1/2) y) (neg.f64 y))) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
(.f64 (.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ ( t t) 2)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 t t) #s(literal 1/2 binary64)) (.f64 t t) #s(literal 1 binary64))))
(/.f64 (.f64 #s(approx (exp (/ ( t t) 2)) #s(literal 1 binary64)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y))))
(.f64 (.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 t t) #s(literal 1/2 binary64)) t) t #s(literal 1 binary64))) #s(approx (- (* x 1/2) y) (.f64 x #s(literal 1/2 binary64)))) (sqrt.f64 (.f64 z #s(literal 2 binary64))))
(.f64 (.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (.f64 t t) #s(literal 1 binary64))) #s(approx (- (* x 1/2) y) (.f64 x #s(literal 1/2 binary64)))) (sqrt.f64 (.f64 z #s(literal 2 binary64))))
(.f64 (.f64 #s(approx (- (* x 1/2) y) (.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 t t) #s(literal 1/2 binary64)) (.f64 t t) #s(literal 1 binary64))))
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (.f64 (.f64 (fma.f64 (.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 z)))
(.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) #s(approx (sqrt (* (* 2 (pow (exp t) t)) z)) (.f64 (fma.f64 (.f64 t #s(literal 1/2 binary64)) t #s(literal 1 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z)))))
(.f64 (.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 t t) #s(literal 1/2 binary64)) t) t #s(literal 1 binary64))) (-.f64 (.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (.f64 z #s(literal 2 binary64))))
(.f64 (.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (.f64 t t) #s(literal 1 binary64))) (-.f64 (.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (.f64 z #s(literal 2 binary64))))
(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (.f64 (fma.f64 (.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) t) t #s(literal 1 binary64))))
(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 t t) #s(literal 1/2 binary64)) (.f64 t t) #s(literal 1 binary64))))
(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (.f64 #s(approx (exp (/ ( t t) 2)) (fma.f64 (fma.f64 (.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (.f64 t t) #s(literal 1 binary64))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))))
(.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 t t) #s(literal 1/2 binary64)) (.f64 t t) #s(literal 1 binary64))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))))
(/.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/4 binary64) (.f64 (neg.f64 y) y)) (sqrt.f64 #s(approx ( (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z)))) (fma.f64 #s(literal 1/2 binary64) x y))
(.f64 (.f64 #s(approx (* (- (* x 1/2) y) (sqrt z)) (.f64 (.f64 (sqrt.f64 z) (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1 binary64))) y)) (sqrt.f64 #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
(.f64 #s(approx ( (- (* x 1/2) y) (sqrt (* z 2))) (.f64 (neg.f64 y) (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 t t) #s(literal 1/2 binary64)) (.f64 t t) #s(literal 1 binary64))))
(.f64 (.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ ( t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 t t) #s(literal 1/8 binary64)) (.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))))
(.f64 (.f64 (/.f64 (sqrt.f64 z) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)))) (sqrt.f64 #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
(.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/4 binary64) (.f64 (neg.f64 y) y)) (/.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (fma.f64 x #s(literal 1/2 binary64) y))) #s(approx (exp (/ ( t t) 2)) #s(literal 1 binary64)))
(/.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/4 binary64) (.f64 (neg.f64 y) y)) (.f64 #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))) (fma.f64 x #s(literal 1/2 binary64) y))
(.f64 #s(approx ( (- (* x 1/2) y) (sqrt (* z 2))) (.f64 (.f64 x (.f64 #s(literal 1/2 binary64) (sqrt.f64 z))) (sqrt.f64 #s(literal 2 binary64)))) #s(approx (exp (/ ( t t) 2)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 t t) #s(literal 1/2 binary64)) (.f64 t t) #s(literal 1 binary64))))
(.f64 (.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 t t) #s(literal 1/8 binary64)) (.f64 t t) #s(literal 1/2 binary64)) (.f64 t t) #s(literal 1 binary64))) #s(approx (- ( x 1/2) y) (.f64 #s(literal 1/2 binary64) x))) (sqrt.f64 (.f64 #s(literal 2 binary64) z)))
(.f64 (.f64 #s(approx (- (* x 1/2) y) (.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 t t) #s(literal 1/8 binary64)) (.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))))
(.f64 (.f64 (.f64 #s(approx (exp (/ ( t t) 2)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 t t) #s(literal 1/2 binary64)) (.f64 t t) #s(literal 1 binary64))) (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y))) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64)))
(.f64 (.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 t t) #s(literal 1/8 binary64)) (.f64 t t) #s(literal 1/2 binary64)) (.f64 t t) #s(literal 1 binary64))) (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y))) (sqrt.f64 (.f64 z #s(literal 2 binary64))))
(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 t t) #s(literal 1/8 binary64)) (.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))))
(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/48 binary64) t) t #s(literal 1/8 binary64)) (.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))))
(.f64 (.f64 (.f64 (neg.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (fma.f64 (.f64 x x) #s(literal 1/4 binary64) (.f64 (neg.f64 y) y))) (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal 1/2 binary64) y))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
(.f64 #s(approx ( (- (* x 1/2) y) (sqrt (* z 2))) (.f64 (.f64 (sqrt.f64 z) (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x (sqrt.f64 #s(literal 2 binary64))) y) (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 y))) #s(approx (exp (/ ( t t) 2)) #s(literal 1 binary64)))
(.f64 #s(approx ( (- (* x 1/2) y) (sqrt (* z 2))) (.f64 (neg.f64 y) (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 t t) #s(literal 1/8 binary64)) (.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))))
(.f64 #s(approx ( (- (* x 1/2) y) (sqrt (* z 2))) (.f64 (.f64 (.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64)) (sqrt.f64 z))) #s(approx (exp (/ ( t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 t t) #s(literal 1/8 binary64)) (.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))))
(.f64 (.f64 (.f64 #s(approx (- ( x 1/2) y) (.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) #s(approx (exp (/ ( t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 t t) #s(literal 1/8 binary64)) (.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))))
(.f64 (.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 t t) #s(literal 1/8 binary64)) (.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))))
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (.f64 (sqrt.f64 z) (fma.f64 (.f64 t t) (.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal 1/8 binary64) (.f64 t t) #s(literal 1/2 binary64))) (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))))))
(.f64 (.f64 (/.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/4 binary64) (.f64 (neg.f64 y) y)) (fma.f64 (.f64 x x) #s(literal 1/4 binary64) (.f64 (neg.f64 y) y))) (.f64 (fma.f64 (.f64 x x) #s(literal 1/4 binary64) (.f64 (neg.f64 y) y)) (fma.f64 x #s(literal 1/2 binary64) y))) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ ( t t) 2)) #s(literal 1 binary64)))
(.f64 #s(approx (- ( 1/2 x) y) (neg.f64 y)) (sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) (pow.f64 #s(approx (exp t) (+.f64 #s(literal 1 binary64) t)) t)) z)))
(.f64 #s(approx (- ( 1/2 x) y) (.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (.f64 (*.f64 #s(literal 2 binary64) (pow.f64 #s(approx (exp t) (+.f64 #s(literal 1 binary64) t)) t)) z)))
(.f64 (.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (exp.f64 (.f64 (*.f64 t t) #s(literal 1/2 binary64))))
(.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) (pow.f64 #s(approx (exp t) (+.f64 #s(literal 1 binary64) t)) t)) z)))
(.f64 (.f64 #s(approx (- (* x 1/2) y) (.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (exp.f64 (.f64 (.f64 t t) #s(literal 1/2 binary64))))
(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (exp.f64 (.f64 (.f64 t t) #s(literal 1/2 binary64))))
(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))))
(.f64 #s(approx ( (- (* x 1/2) y) (sqrt (* z 2))) (.f64 (.f64 (neg.f64 (sqrt.f64 z)) y) (sqrt.f64 #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))))
(.f64 #s(approx ( (- (* x 1/2) y) (sqrt (* z 2))) (.f64 (.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) x) (sqrt.f64 #s(literal 2 binary64)))) (exp.f64 (/.f64 (.f64 t t) #s(literal 2 binary64))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) (sqrt.f64 #s(approx ( (* 2 (pow (exp t) t)) z) (.f64 #s(literal 2 binary64) z)))) (.f64 (.f64 #s(literal 1/2 binary64) x) (sqrt.f64 #s(approx ( (* 2 (pow (exp t) t)) z) (.f64 #s(literal 2 binary64) z))))) (.f64 (.f64 (neg.f64 y) (sqrt.f64 #s(approx ( (* 2 (pow (exp t) t)) z) (.f64 #s(literal 2 binary64) z)))) (.f64 (neg.f64 y) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (.f64 #s(literal 2 binary64) z)))))) (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) (sqrt.f64 #s(approx ( (* 2 (pow (exp t) t)) z) (.f64 #s(literal 2 binary64) z)))) (.f64 (neg.f64 y) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z))))))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) z)) (-.f64 (.f64 #s(literal 1/2 binary64) x) y)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))))
(.f64 (/.f64 (-.f64 (.f64 (.f64 (.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (.f64 (.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (.f64 z #s(literal 2 binary64))))) (.f64 (.f64 (neg.f64 y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (.f64 (neg.f64 y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))))) (-.f64 (.f64 (.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (.f64 (neg.f64 y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
(.f64 #s(approx (- ( 1/2 x) y) (.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 t) t)) z)))
(.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 t) t)) z)))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) #s(literal -1 binary64)) (sqrt.f64 (.f64 #s(literal 2 binary64) z)))) (exp.f64 (/.f64 (.f64 t t) #s(literal 2 binary64))))
(.f64 (/.f64 (.f64 (fma.f64 (neg.f64 y) y (pow.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64))) (sqrt.f64 (.f64 #s(literal 2 binary64) z))) (fma.f64 #s(literal 1/2 binary64) x y)) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))))
(.f64 (.f64 (pow.f64 (.f64 #s(literal 2 binary64) z) #s(literal 1/4 binary64)) (.f64 (pow.f64 (.f64 #s(literal 2 binary64) z) #s(literal 1/4 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) x) y))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))))
(.f64 (.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) z)) (fma.f64 (.f64 #s(literal 1/4 binary64) x) x (.f64 (fma.f64 #s(literal 1/2 binary64) x y) y)))) (exp.f64 (/.f64 (.f64 t t) #s(literal 2 binary64))))

Outputs
(.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 t) t)) z)))

Calls

13 calls:

104.0ms	x
83.0ms	t
74.0ms	(*.f64 t t)
57.0ms	(*.f64 x #s(literal 1/2 binary64))
47.0ms	(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)

Results

Accuracy	Segments	Branch
99.9%	1	`x`
99.9%	1	`y`
99.9%	1	`z`
99.9%	1	`t`
99.9%	1	`(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))))`
99.9%	1	`(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))`
99.9%	1	`(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)`
99.9%	1	`(*.f64 x #s(literal 1/2 binary64))`
99.9%	1	`(sqrt.f64 (*.f64 z #s(literal 2 binary64)))`
99.9%	1	`(*.f64 z #s(literal 2 binary64))`
99.9%	1	`(exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))`
99.9%	1	`(/.f64 (*.f64 t t) #s(literal 2 binary64))`
99.9%	1	`(*.f64 t t)`

Compiler

Compiled 60 to 88 computations (-46.7% saved)

regimes348.0ms (2.2%)

Memory

23.0MiB live, 569.8MiB allocated

Counts

74 → 1

Calls

Call 1

Inputs
(.f64 #s(approx (- ( 1/2 x) y) (neg.f64 y)) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z))))
(.f64 #s(approx (- ( 1/2 x) y) (.f64 x #s(literal 1/2 binary64))) (sqrt.f64 #s(approx ( (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z))))
(.f64 (.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ ( t t) 2)) #s(literal 1 binary64)))
(.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z))))
(.f64 (.f64 #s(approx (- (* x 1/2) y) (.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
(.f64 #s(approx ( (- (* x 1/2) y) (sqrt (* z 2))) (.f64 (neg.f64 y) (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
(.f64 (.f64 (sqrt.f64 z) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (- ( x 1/2) y) (neg.f64 y)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
(.f64 (.f64 (.f64 #s(approx (- ( x 1/2) y) (neg.f64 y)) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (.f64 (.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)))
#s(approx (* (- (* 1/2 x) y) (sqrt (* (* 2 (pow (exp t) t)) z))) (.f64 (.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)))
(.f64 (.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ ( t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))))
(.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) #s(approx (sqrt (* (* 2 (pow (exp t) t)) z)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z))))
(.f64 #s(approx (- ( 1/2 x) y) (.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 y x)) x)) (sqrt.f64 #s(approx ( (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z))))
(.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (.f64 (fma.f64 (.f64 t t) z z) #s(literal 2 binary64)))))
(.f64 (.f64 #s(approx (- (* x 1/2) y) (.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))))
(.f64 #s(approx (- ( 1/2 x) y) (.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1 binary64)) y)) (sqrt.f64 #s(approx ( (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z))))
(.f64 (.f64 #s(approx (- (* x 1/2) y) (/.f64 (neg.f64 (.f64 y y)) y)) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
(.f64 (.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
(.f64 (.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))) (-.f64 (.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
(.f64 (.f64 #s(approx (- (* x 1/2) y) (.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 y x)) x)) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))))
(/.f64 (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (.f64 #s(literal 2 binary64) z))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) x) y)))
(.f64 (.f64 #s(approx (- (* x 1/2) y) (.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1 binary64)) y)) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
(.f64 (.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 t t) #s(literal 1/2 binary64)) t) t #s(literal 1 binary64))) #s(approx (- (* x 1/2) y) (neg.f64 y))) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
(.f64 (.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (.f64 t t) #s(literal 1 binary64))) #s(approx (- (* x 1/2) y) (neg.f64 y))) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
(.f64 (.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ ( t t) 2)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 t t) #s(literal 1/2 binary64)) (.f64 t t) #s(literal 1 binary64))))
(/.f64 (.f64 #s(approx (exp (/ ( t t) 2)) #s(literal 1 binary64)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y))))
(.f64 (.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 t t) #s(literal 1/2 binary64)) t) t #s(literal 1 binary64))) #s(approx (- (* x 1/2) y) (.f64 x #s(literal 1/2 binary64)))) (sqrt.f64 (.f64 z #s(literal 2 binary64))))
(.f64 (.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (.f64 t t) #s(literal 1 binary64))) #s(approx (- (* x 1/2) y) (.f64 x #s(literal 1/2 binary64)))) (sqrt.f64 (.f64 z #s(literal 2 binary64))))
(.f64 (.f64 #s(approx (- (* x 1/2) y) (.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 t t) #s(literal 1/2 binary64)) (.f64 t t) #s(literal 1 binary64))))
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (.f64 (.f64 (fma.f64 (.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 z)))
(.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) #s(approx (sqrt (* (* 2 (pow (exp t) t)) z)) (.f64 (fma.f64 (.f64 t #s(literal 1/2 binary64)) t #s(literal 1 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z)))))
(.f64 (.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 t t) #s(literal 1/2 binary64)) t) t #s(literal 1 binary64))) (-.f64 (.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (.f64 z #s(literal 2 binary64))))
(.f64 (.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (.f64 t t) #s(literal 1 binary64))) (-.f64 (.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (.f64 z #s(literal 2 binary64))))
(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (.f64 (fma.f64 (.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) t) t #s(literal 1 binary64))))
(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 t t) #s(literal 1/2 binary64)) (.f64 t t) #s(literal 1 binary64))))
(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (.f64 #s(approx (exp (/ ( t t) 2)) (fma.f64 (fma.f64 (.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (.f64 t t) #s(literal 1 binary64))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))))
(.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 t t) #s(literal 1/2 binary64)) (.f64 t t) #s(literal 1 binary64))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))))
(/.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/4 binary64) (.f64 (neg.f64 y) y)) (sqrt.f64 #s(approx ( (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z)))) (fma.f64 #s(literal 1/2 binary64) x y))
(.f64 (.f64 #s(approx (* (- (* x 1/2) y) (sqrt z)) (.f64 (.f64 (sqrt.f64 z) (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1 binary64))) y)) (sqrt.f64 #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
(.f64 #s(approx ( (- (* x 1/2) y) (sqrt (* z 2))) (.f64 (neg.f64 y) (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 t t) #s(literal 1/2 binary64)) (.f64 t t) #s(literal 1 binary64))))
(.f64 (.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ ( t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 t t) #s(literal 1/8 binary64)) (.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))))
(.f64 (.f64 (/.f64 (sqrt.f64 z) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)))) (sqrt.f64 #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
(.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/4 binary64) (.f64 (neg.f64 y) y)) (/.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (fma.f64 x #s(literal 1/2 binary64) y))) #s(approx (exp (/ ( t t) 2)) #s(literal 1 binary64)))
(/.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/4 binary64) (.f64 (neg.f64 y) y)) (.f64 #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))) (fma.f64 x #s(literal 1/2 binary64) y))
(.f64 #s(approx ( (- (* x 1/2) y) (sqrt (* z 2))) (.f64 (.f64 x (.f64 #s(literal 1/2 binary64) (sqrt.f64 z))) (sqrt.f64 #s(literal 2 binary64)))) #s(approx (exp (/ ( t t) 2)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 t t) #s(literal 1/2 binary64)) (.f64 t t) #s(literal 1 binary64))))
(.f64 (.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 t t) #s(literal 1/8 binary64)) (.f64 t t) #s(literal 1/2 binary64)) (.f64 t t) #s(literal 1 binary64))) #s(approx (- ( x 1/2) y) (.f64 #s(literal 1/2 binary64) x))) (sqrt.f64 (.f64 #s(literal 2 binary64) z)))
(.f64 (.f64 #s(approx (- (* x 1/2) y) (.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 t t) #s(literal 1/8 binary64)) (.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))))
(.f64 (.f64 (.f64 #s(approx (exp (/ ( t t) 2)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 t t) #s(literal 1/2 binary64)) (.f64 t t) #s(literal 1 binary64))) (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y))) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64)))
(.f64 (.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 t t) #s(literal 1/8 binary64)) (.f64 t t) #s(literal 1/2 binary64)) (.f64 t t) #s(literal 1 binary64))) (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y))) (sqrt.f64 (.f64 z #s(literal 2 binary64))))
(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 t t) #s(literal 1/8 binary64)) (.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))))
(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/48 binary64) t) t #s(literal 1/8 binary64)) (.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))))
(.f64 (.f64 (.f64 (neg.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (fma.f64 (.f64 x x) #s(literal 1/4 binary64) (.f64 (neg.f64 y) y))) (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal 1/2 binary64) y))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
(.f64 #s(approx ( (- (* x 1/2) y) (sqrt (* z 2))) (.f64 (.f64 (sqrt.f64 z) (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x (sqrt.f64 #s(literal 2 binary64))) y) (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 y))) #s(approx (exp (/ ( t t) 2)) #s(literal 1 binary64)))
(.f64 #s(approx ( (- (* x 1/2) y) (sqrt (* z 2))) (.f64 (neg.f64 y) (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 t t) #s(literal 1/8 binary64)) (.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))))
(.f64 #s(approx ( (- (* x 1/2) y) (sqrt (* z 2))) (.f64 (.f64 (.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64)) (sqrt.f64 z))) #s(approx (exp (/ ( t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 t t) #s(literal 1/8 binary64)) (.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))))
(.f64 (.f64 (.f64 #s(approx (- ( x 1/2) y) (.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) #s(approx (exp (/ ( t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 t t) #s(literal 1/8 binary64)) (.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))))
(.f64 (.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 t t) #s(literal 1/8 binary64)) (.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))))
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (.f64 (sqrt.f64 z) (fma.f64 (.f64 t t) (.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal 1/8 binary64) (.f64 t t) #s(literal 1/2 binary64))) (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))))))
(.f64 (.f64 (/.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/4 binary64) (.f64 (neg.f64 y) y)) (fma.f64 (.f64 x x) #s(literal 1/4 binary64) (.f64 (neg.f64 y) y))) (.f64 (fma.f64 (.f64 x x) #s(literal 1/4 binary64) (.f64 (neg.f64 y) y)) (fma.f64 x #s(literal 1/2 binary64) y))) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ ( t t) 2)) #s(literal 1 binary64)))
(.f64 #s(approx (- ( 1/2 x) y) (neg.f64 y)) (sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) (pow.f64 #s(approx (exp t) (+.f64 #s(literal 1 binary64) t)) t)) z)))
(.f64 #s(approx (- ( 1/2 x) y) (.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (.f64 (*.f64 #s(literal 2 binary64) (pow.f64 #s(approx (exp t) (+.f64 #s(literal 1 binary64) t)) t)) z)))
(.f64 (.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (exp.f64 (.f64 (*.f64 t t) #s(literal 1/2 binary64))))
(.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) (pow.f64 #s(approx (exp t) (+.f64 #s(literal 1 binary64) t)) t)) z)))
(.f64 (.f64 #s(approx (- (* x 1/2) y) (.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (exp.f64 (.f64 (.f64 t t) #s(literal 1/2 binary64))))
(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (exp.f64 (.f64 (.f64 t t) #s(literal 1/2 binary64))))
(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))))
(.f64 #s(approx ( (- (* x 1/2) y) (sqrt (* z 2))) (.f64 (.f64 (neg.f64 (sqrt.f64 z)) y) (sqrt.f64 #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))))
(.f64 #s(approx ( (- (* x 1/2) y) (sqrt (* z 2))) (.f64 (.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) x) (sqrt.f64 #s(literal 2 binary64)))) (exp.f64 (/.f64 (.f64 t t) #s(literal 2 binary64))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) (sqrt.f64 #s(approx ( (* 2 (pow (exp t) t)) z) (.f64 #s(literal 2 binary64) z)))) (.f64 (.f64 #s(literal 1/2 binary64) x) (sqrt.f64 #s(approx ( (* 2 (pow (exp t) t)) z) (.f64 #s(literal 2 binary64) z))))) (.f64 (.f64 (neg.f64 y) (sqrt.f64 #s(approx ( (* 2 (pow (exp t) t)) z) (.f64 #s(literal 2 binary64) z)))) (.f64 (neg.f64 y) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (.f64 #s(literal 2 binary64) z)))))) (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) (sqrt.f64 #s(approx ( (* 2 (pow (exp t) t)) z) (.f64 #s(literal 2 binary64) z)))) (.f64 (neg.f64 y) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z))))))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) z)) (-.f64 (.f64 #s(literal 1/2 binary64) x) y)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))))
(.f64 (/.f64 (-.f64 (.f64 (.f64 (.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (.f64 (.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (.f64 z #s(literal 2 binary64))))) (.f64 (.f64 (neg.f64 y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (.f64 (neg.f64 y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))))) (-.f64 (.f64 (.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (.f64 (neg.f64 y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
(.f64 #s(approx (- ( 1/2 x) y) (.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 t) t)) z)))

Outputs
(.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) (pow.f64 #s(approx (exp t) (+.f64 #s(literal 1 binary64) t)) t)) z)))

Calls

13 calls:

46.0ms	(/.f64 (*.f64 t t) #s(literal 2 binary64))
42.0ms	(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
29.0ms	(*.f64 z #s(literal 2 binary64))
25.0ms	y
25.0ms	(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))

Results

Accuracy	Segments	Branch
99.3%	1	`x`
99.3%	1	`y`
99.3%	1	`z`
99.3%	1	`t`
99.3%	1	`(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))))`
99.3%	1	`(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))`
99.3%	1	`(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)`
99.3%	1	`(*.f64 x #s(literal 1/2 binary64))`
99.3%	1	`(sqrt.f64 (*.f64 z #s(literal 2 binary64)))`
99.3%	1	`(*.f64 z #s(literal 2 binary64))`
99.3%	1	`(exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))`
99.3%	1	`(/.f64 (*.f64 t t) #s(literal 2 binary64))`
99.3%	1	`(*.f64 t t)`

Compiler

Compiled 60 to 88 computations (-46.7% saved)

regimes449.0ms (2.8%)

Memory

25.4MiB live, 580.3MiB allocated

Counts

64 → 1

Calls

Call 1

Inputs
(.f64 #s(approx (- ( 1/2 x) y) (neg.f64 y)) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z))))
(.f64 #s(approx (- ( 1/2 x) y) (.f64 x #s(literal 1/2 binary64))) (sqrt.f64 #s(approx ( (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z))))
(.f64 (.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ ( t t) 2)) #s(literal 1 binary64)))
(.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z))))
(.f64 (.f64 #s(approx (- (* x 1/2) y) (.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
(.f64 #s(approx ( (- (* x 1/2) y) (sqrt (* z 2))) (.f64 (neg.f64 y) (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
(.f64 (.f64 (sqrt.f64 z) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (- ( x 1/2) y) (neg.f64 y)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
(.f64 (.f64 (.f64 #s(approx (- ( x 1/2) y) (neg.f64 y)) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (.f64 (.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)))
#s(approx (* (- (* 1/2 x) y) (sqrt (* (* 2 (pow (exp t) t)) z))) (.f64 (.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)))
(.f64 (.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ ( t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))))
(.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) #s(approx (sqrt (* (* 2 (pow (exp t) t)) z)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z))))
(.f64 #s(approx (- ( 1/2 x) y) (.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 y x)) x)) (sqrt.f64 #s(approx ( (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z))))
(.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (.f64 (fma.f64 (.f64 t t) z z) #s(literal 2 binary64)))))
(.f64 (.f64 #s(approx (- (* x 1/2) y) (.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))))
(.f64 #s(approx (- ( 1/2 x) y) (.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1 binary64)) y)) (sqrt.f64 #s(approx ( (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z))))
(.f64 (.f64 #s(approx (- (* x 1/2) y) (/.f64 (neg.f64 (.f64 y y)) y)) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
(.f64 (.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
(.f64 (.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))) (-.f64 (.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
(.f64 (.f64 #s(approx (- (* x 1/2) y) (.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 y x)) x)) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))))
(/.f64 (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (.f64 #s(literal 2 binary64) z))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) x) y)))
(.f64 (.f64 #s(approx (- (* x 1/2) y) (.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1 binary64)) y)) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
(.f64 (.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 t t) #s(literal 1/2 binary64)) t) t #s(literal 1 binary64))) #s(approx (- (* x 1/2) y) (neg.f64 y))) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
(.f64 (.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (.f64 t t) #s(literal 1 binary64))) #s(approx (- (* x 1/2) y) (neg.f64 y))) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
(.f64 (.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ ( t t) 2)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 t t) #s(literal 1/2 binary64)) (.f64 t t) #s(literal 1 binary64))))
(/.f64 (.f64 #s(approx (exp (/ ( t t) 2)) #s(literal 1 binary64)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y))))
(.f64 (.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 t t) #s(literal 1/2 binary64)) t) t #s(literal 1 binary64))) #s(approx (- (* x 1/2) y) (.f64 x #s(literal 1/2 binary64)))) (sqrt.f64 (.f64 z #s(literal 2 binary64))))
(.f64 (.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (.f64 t t) #s(literal 1 binary64))) #s(approx (- (* x 1/2) y) (.f64 x #s(literal 1/2 binary64)))) (sqrt.f64 (.f64 z #s(literal 2 binary64))))
(.f64 (.f64 #s(approx (- (* x 1/2) y) (.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 t t) #s(literal 1/2 binary64)) (.f64 t t) #s(literal 1 binary64))))
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (.f64 (.f64 (fma.f64 (.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 z)))
(.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) #s(approx (sqrt (* (* 2 (pow (exp t) t)) z)) (.f64 (fma.f64 (.f64 t #s(literal 1/2 binary64)) t #s(literal 1 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z)))))
(.f64 (.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 t t) #s(literal 1/2 binary64)) t) t #s(literal 1 binary64))) (-.f64 (.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (.f64 z #s(literal 2 binary64))))
(.f64 (.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (.f64 t t) #s(literal 1 binary64))) (-.f64 (.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (.f64 z #s(literal 2 binary64))))
(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (.f64 (fma.f64 (.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) t) t #s(literal 1 binary64))))
(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 t t) #s(literal 1/2 binary64)) (.f64 t t) #s(literal 1 binary64))))
(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (.f64 #s(approx (exp (/ ( t t) 2)) (fma.f64 (fma.f64 (.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (.f64 t t) #s(literal 1 binary64))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))))
(.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 t t) #s(literal 1/2 binary64)) (.f64 t t) #s(literal 1 binary64))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))))
(/.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/4 binary64) (.f64 (neg.f64 y) y)) (sqrt.f64 #s(approx ( (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z)))) (fma.f64 #s(literal 1/2 binary64) x y))
(.f64 (.f64 #s(approx (* (- (* x 1/2) y) (sqrt z)) (.f64 (.f64 (sqrt.f64 z) (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1 binary64))) y)) (sqrt.f64 #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
(.f64 #s(approx ( (- (* x 1/2) y) (sqrt (* z 2))) (.f64 (neg.f64 y) (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 t t) #s(literal 1/2 binary64)) (.f64 t t) #s(literal 1 binary64))))
(.f64 (.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ ( t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 t t) #s(literal 1/8 binary64)) (.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))))
(.f64 (.f64 (/.f64 (sqrt.f64 z) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)))) (sqrt.f64 #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
(.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/4 binary64) (.f64 (neg.f64 y) y)) (/.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (fma.f64 x #s(literal 1/2 binary64) y))) #s(approx (exp (/ ( t t) 2)) #s(literal 1 binary64)))
(/.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/4 binary64) (.f64 (neg.f64 y) y)) (.f64 #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))) (fma.f64 x #s(literal 1/2 binary64) y))
(.f64 #s(approx ( (- (* x 1/2) y) (sqrt (* z 2))) (.f64 (.f64 x (.f64 #s(literal 1/2 binary64) (sqrt.f64 z))) (sqrt.f64 #s(literal 2 binary64)))) #s(approx (exp (/ ( t t) 2)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 t t) #s(literal 1/2 binary64)) (.f64 t t) #s(literal 1 binary64))))
(.f64 (.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 t t) #s(literal 1/8 binary64)) (.f64 t t) #s(literal 1/2 binary64)) (.f64 t t) #s(literal 1 binary64))) #s(approx (- ( x 1/2) y) (.f64 #s(literal 1/2 binary64) x))) (sqrt.f64 (.f64 #s(literal 2 binary64) z)))
(.f64 (.f64 #s(approx (- (* x 1/2) y) (.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 t t) #s(literal 1/8 binary64)) (.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))))
(.f64 (.f64 (.f64 #s(approx (exp (/ ( t t) 2)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 t t) #s(literal 1/2 binary64)) (.f64 t t) #s(literal 1 binary64))) (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y))) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64)))
(.f64 (.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 t t) #s(literal 1/8 binary64)) (.f64 t t) #s(literal 1/2 binary64)) (.f64 t t) #s(literal 1 binary64))) (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y))) (sqrt.f64 (.f64 z #s(literal 2 binary64))))
(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 t t) #s(literal 1/8 binary64)) (.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))))
(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/48 binary64) t) t #s(literal 1/8 binary64)) (.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))))
(.f64 (.f64 (.f64 (neg.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (fma.f64 (.f64 x x) #s(literal 1/4 binary64) (.f64 (neg.f64 y) y))) (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal 1/2 binary64) y))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
(.f64 #s(approx ( (- (* x 1/2) y) (sqrt (* z 2))) (.f64 (.f64 (sqrt.f64 z) (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x (sqrt.f64 #s(literal 2 binary64))) y) (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 y))) #s(approx (exp (/ ( t t) 2)) #s(literal 1 binary64)))
(.f64 #s(approx ( (- (* x 1/2) y) (sqrt (* z 2))) (.f64 (neg.f64 y) (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 t t) #s(literal 1/8 binary64)) (.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))))
(.f64 #s(approx ( (- (* x 1/2) y) (sqrt (* z 2))) (.f64 (.f64 (.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64)) (sqrt.f64 z))) #s(approx (exp (/ ( t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 t t) #s(literal 1/8 binary64)) (.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))))
(.f64 (.f64 (.f64 #s(approx (- ( x 1/2) y) (.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) #s(approx (exp (/ ( t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 t t) #s(literal 1/8 binary64)) (.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))))
(.f64 (.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 t t) #s(literal 1/8 binary64)) (.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))))
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (.f64 (sqrt.f64 z) (fma.f64 (.f64 t t) (.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal 1/8 binary64) (.f64 t t) #s(literal 1/2 binary64))) (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))))))
(.f64 (.f64 (/.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/4 binary64) (.f64 (neg.f64 y) y)) (fma.f64 (.f64 x x) #s(literal 1/4 binary64) (.f64 (neg.f64 y) y))) (.f64 (fma.f64 (.f64 x x) #s(literal 1/4 binary64) (.f64 (neg.f64 y) y)) (fma.f64 x #s(literal 1/2 binary64) y))) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ ( t t) 2)) #s(literal 1 binary64)))
(.f64 #s(approx (- ( 1/2 x) y) (neg.f64 y)) (sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) (pow.f64 #s(approx (exp t) (+.f64 #s(literal 1 binary64) t)) t)) z)))
(.f64 #s(approx (- ( 1/2 x) y) (.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (.f64 (*.f64 #s(literal 2 binary64) (pow.f64 #s(approx (exp t) (+.f64 #s(literal 1 binary64) t)) t)) z)))
(.f64 (.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (exp.f64 (.f64 (*.f64 t t) #s(literal 1/2 binary64))))

Outputs

(*.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y))) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))

Calls

13 calls:

129.0ms	(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
53.0ms	z
47.0ms	(*.f64 x #s(literal 1/2 binary64))
30.0ms	y
25.0ms	(/.f64 (*.f64 t t) #s(literal 2 binary64))

Results

Accuracy	Segments	Branch
97.2%	1	`x`
97.2%	1	`y`
97.2%	1	`z`
97.2%	1	`t`
97.2%	1	`(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))))`
97.2%	1	`(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))`
97.2%	1	`(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)`
97.2%	1	`(*.f64 x #s(literal 1/2 binary64))`
97.2%	1	`(sqrt.f64 (*.f64 z #s(literal 2 binary64)))`
97.2%	1	`(*.f64 z #s(literal 2 binary64))`
97.2%	1	`(exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))`
97.2%	1	`(/.f64 (*.f64 t t) #s(literal 2 binary64))`
97.2%	1	`(*.f64 t t)`

Compiler

Compiled 60 to 88 computations (-46.7% saved)

regimes220.0ms (1.4%)

Memory

-5.9MiB live, 465.6MiB allocated

Counts

50 → 1

Calls

Call 1

Inputs
(.f64 #s(approx (- ( 1/2 x) y) (neg.f64 y)) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z))))
(.f64 #s(approx (- ( 1/2 x) y) (.f64 x #s(literal 1/2 binary64))) (sqrt.f64 #s(approx ( (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z))))
(.f64 (.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ ( t t) 2)) #s(literal 1 binary64)))
(.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z))))
(.f64 (.f64 #s(approx (- (* x 1/2) y) (.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
(.f64 #s(approx ( (- (* x 1/2) y) (sqrt (* z 2))) (.f64 (neg.f64 y) (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
(.f64 (.f64 (sqrt.f64 z) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (- ( x 1/2) y) (neg.f64 y)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
(.f64 (.f64 (.f64 #s(approx (- ( x 1/2) y) (neg.f64 y)) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (.f64 (.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)))
#s(approx (* (- (* 1/2 x) y) (sqrt (* (* 2 (pow (exp t) t)) z))) (.f64 (.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)))
(.f64 (.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ ( t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))))
(.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) #s(approx (sqrt (* (* 2 (pow (exp t) t)) z)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z))))
(.f64 #s(approx (- ( 1/2 x) y) (.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 y x)) x)) (sqrt.f64 #s(approx ( (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z))))
(.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (.f64 (fma.f64 (.f64 t t) z z) #s(literal 2 binary64)))))
(.f64 (.f64 #s(approx (- (* x 1/2) y) (.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))))
(.f64 #s(approx (- ( 1/2 x) y) (.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1 binary64)) y)) (sqrt.f64 #s(approx ( (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z))))
(.f64 (.f64 #s(approx (- (* x 1/2) y) (/.f64 (neg.f64 (.f64 y y)) y)) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
(.f64 (.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
(.f64 (.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))) (-.f64 (.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
(.f64 (.f64 #s(approx (- (* x 1/2) y) (.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 y x)) x)) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))))
(/.f64 (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (.f64 #s(literal 2 binary64) z))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) x) y)))
(.f64 (.f64 #s(approx (- (* x 1/2) y) (.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1 binary64)) y)) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
(.f64 (.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 t t) #s(literal 1/2 binary64)) t) t #s(literal 1 binary64))) #s(approx (- (* x 1/2) y) (neg.f64 y))) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
(.f64 (.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (.f64 t t) #s(literal 1 binary64))) #s(approx (- (* x 1/2) y) (neg.f64 y))) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
(.f64 (.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ ( t t) 2)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 t t) #s(literal 1/2 binary64)) (.f64 t t) #s(literal 1 binary64))))
(/.f64 (.f64 #s(approx (exp (/ ( t t) 2)) #s(literal 1 binary64)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y))))
(.f64 (.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 t t) #s(literal 1/2 binary64)) t) t #s(literal 1 binary64))) #s(approx (- (* x 1/2) y) (.f64 x #s(literal 1/2 binary64)))) (sqrt.f64 (.f64 z #s(literal 2 binary64))))
(.f64 (.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (.f64 t t) #s(literal 1 binary64))) #s(approx (- (* x 1/2) y) (.f64 x #s(literal 1/2 binary64)))) (sqrt.f64 (.f64 z #s(literal 2 binary64))))
(.f64 (.f64 #s(approx (- (* x 1/2) y) (.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 t t) #s(literal 1/2 binary64)) (.f64 t t) #s(literal 1 binary64))))
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (.f64 (.f64 (fma.f64 (.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 z)))
(.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) #s(approx (sqrt (* (* 2 (pow (exp t) t)) z)) (.f64 (fma.f64 (.f64 t #s(literal 1/2 binary64)) t #s(literal 1 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z)))))
(.f64 (.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 t t) #s(literal 1/2 binary64)) t) t #s(literal 1 binary64))) (-.f64 (.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (.f64 z #s(literal 2 binary64))))
(.f64 (.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (.f64 t t) #s(literal 1 binary64))) (-.f64 (.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (.f64 z #s(literal 2 binary64))))
(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (.f64 (fma.f64 (.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) t) t #s(literal 1 binary64))))
(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 t t) #s(literal 1/2 binary64)) (.f64 t t) #s(literal 1 binary64))))
(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (.f64 #s(approx (exp (/ ( t t) 2)) (fma.f64 (fma.f64 (.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (.f64 t t) #s(literal 1 binary64))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))))
(.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 t t) #s(literal 1/2 binary64)) (.f64 t t) #s(literal 1 binary64))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))))
(/.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/4 binary64) (.f64 (neg.f64 y) y)) (sqrt.f64 #s(approx ( (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z)))) (fma.f64 #s(literal 1/2 binary64) x y))
(.f64 (.f64 #s(approx (* (- (* x 1/2) y) (sqrt z)) (.f64 (.f64 (sqrt.f64 z) (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1 binary64))) y)) (sqrt.f64 #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
(.f64 #s(approx ( (- (* x 1/2) y) (sqrt (* z 2))) (.f64 (neg.f64 y) (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 t t) #s(literal 1/2 binary64)) (.f64 t t) #s(literal 1 binary64))))
(.f64 (.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ ( t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 t t) #s(literal 1/8 binary64)) (.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))))
(.f64 (.f64 (/.f64 (sqrt.f64 z) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)))) (sqrt.f64 #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
(.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/4 binary64) (.f64 (neg.f64 y) y)) (/.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (fma.f64 x #s(literal 1/2 binary64) y))) #s(approx (exp (/ ( t t) 2)) #s(literal 1 binary64)))
(/.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/4 binary64) (.f64 (neg.f64 y) y)) (.f64 #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))) (fma.f64 x #s(literal 1/2 binary64) y))
(.f64 #s(approx ( (- (* x 1/2) y) (sqrt (* z 2))) (.f64 (.f64 x (.f64 #s(literal 1/2 binary64) (sqrt.f64 z))) (sqrt.f64 #s(literal 2 binary64)))) #s(approx (exp (/ ( t t) 2)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 t t) #s(literal 1/2 binary64)) (.f64 t t) #s(literal 1 binary64))))
(.f64 (.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 t t) #s(literal 1/8 binary64)) (.f64 t t) #s(literal 1/2 binary64)) (.f64 t t) #s(literal 1 binary64))) #s(approx (- ( x 1/2) y) (.f64 #s(literal 1/2 binary64) x))) (sqrt.f64 (.f64 #s(literal 2 binary64) z)))
(.f64 (.f64 #s(approx (- (* x 1/2) y) (.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 t t) #s(literal 1/8 binary64)) (.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))))
(.f64 (.f64 (.f64 #s(approx (exp (/ ( t t) 2)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 t t) #s(literal 1/2 binary64)) (.f64 t t) #s(literal 1 binary64))) (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y))) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64)))

Outputs

(*.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) t) t #s(literal 1 binary64))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))

Calls

13 calls:

23.0ms	z
20.0ms	x
19.0ms	(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
17.0ms	(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
17.0ms	t

Results

Accuracy	Segments	Branch
92.2%	1	`z`
92.2%	1	`t`
92.2%	1	`(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))))`
92.2%	1	`(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))`
92.2%	1	`(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)`
92.2%	1	`(sqrt.f64 (*.f64 z #s(literal 2 binary64)))`
92.2%	1	`(*.f64 z #s(literal 2 binary64))`
92.2%	1	`(/.f64 (*.f64 t t) #s(literal 2 binary64))`
92.2%	1	`(*.f64 t t)`
92.2%	1	`x`
92.2%	1	`y`
92.2%	1	`(*.f64 x #s(literal 1/2 binary64))`
92.2%	1	`(exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))`

Compiler

Compiled 60 to 88 computations (-46.7% saved)

regimes194.0ms (1.2%)

Memory

35.0MiB live, 252.7MiB allocated

Counts

33 → 3

Calls

Call 1

Inputs
(.f64 #s(approx (- ( 1/2 x) y) (neg.f64 y)) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z))))
(.f64 #s(approx (- ( 1/2 x) y) (.f64 x #s(literal 1/2 binary64))) (sqrt.f64 #s(approx ( (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z))))
(.f64 (.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ ( t t) 2)) #s(literal 1 binary64)))
(.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z))))
(.f64 (.f64 #s(approx (- (* x 1/2) y) (.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
(.f64 #s(approx ( (- (* x 1/2) y) (sqrt (* z 2))) (.f64 (neg.f64 y) (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
(.f64 (.f64 (sqrt.f64 z) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (- ( x 1/2) y) (neg.f64 y)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
(.f64 (.f64 (.f64 #s(approx (- ( x 1/2) y) (neg.f64 y)) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (.f64 (.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)))
#s(approx (* (- (* 1/2 x) y) (sqrt (* (* 2 (pow (exp t) t)) z))) (.f64 (.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)))
(.f64 (.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ ( t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))))
(.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) #s(approx (sqrt (* (* 2 (pow (exp t) t)) z)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z))))
(.f64 #s(approx (- ( 1/2 x) y) (.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 y x)) x)) (sqrt.f64 #s(approx ( (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z))))
(.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (.f64 (fma.f64 (.f64 t t) z z) #s(literal 2 binary64)))))
(.f64 (.f64 #s(approx (- (* x 1/2) y) (.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))))
(.f64 #s(approx (- ( 1/2 x) y) (.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1 binary64)) y)) (sqrt.f64 #s(approx ( (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z))))
(.f64 (.f64 #s(approx (- (* x 1/2) y) (/.f64 (neg.f64 (.f64 y y)) y)) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
(.f64 (.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
(.f64 (.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))) (-.f64 (.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
(.f64 (.f64 #s(approx (- (* x 1/2) y) (.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 y x)) x)) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))))
(/.f64 (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (.f64 #s(literal 2 binary64) z))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) x) y)))
(.f64 (.f64 #s(approx (- (* x 1/2) y) (.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1 binary64)) y)) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
(.f64 (.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 t t) #s(literal 1/2 binary64)) t) t #s(literal 1 binary64))) #s(approx (- (* x 1/2) y) (neg.f64 y))) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
(.f64 (.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (.f64 t t) #s(literal 1 binary64))) #s(approx (- (* x 1/2) y) (neg.f64 y))) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
(.f64 (.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ ( t t) 2)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 t t) #s(literal 1/2 binary64)) (.f64 t t) #s(literal 1 binary64))))
(/.f64 (.f64 #s(approx (exp (/ ( t t) 2)) #s(literal 1 binary64)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y))))
(.f64 (.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 t t) #s(literal 1/2 binary64)) t) t #s(literal 1 binary64))) #s(approx (- (* x 1/2) y) (.f64 x #s(literal 1/2 binary64)))) (sqrt.f64 (.f64 z #s(literal 2 binary64))))
(.f64 (.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (.f64 t t) #s(literal 1 binary64))) #s(approx (- (* x 1/2) y) (.f64 x #s(literal 1/2 binary64)))) (sqrt.f64 (.f64 z #s(literal 2 binary64))))
(.f64 (.f64 #s(approx (- (* x 1/2) y) (.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 t t) #s(literal 1/2 binary64)) (.f64 t t) #s(literal 1 binary64))))
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (.f64 (.f64 (fma.f64 (.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 z)))
(.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) #s(approx (sqrt (* (* 2 (pow (exp t) t)) z)) (.f64 (fma.f64 (.f64 t #s(literal 1/2 binary64)) t #s(literal 1 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z)))))

Outputs

(*.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))

(*.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) t) t #s(literal 1 binary64))) #s(approx (- (* x 1/2) y) (neg.f64 y))) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))

(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 (fma.f64 (*.f64 t t) z z) #s(literal 2 binary64)))))

Calls

13 calls:

42.0ms	(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
31.0ms	(*.f64 t t)
14.0ms	t
14.0ms	(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
12.0ms	y

Results

Accuracy	Segments	Branch
84.6%	2	`z`
84.6%	2	`(sqrt.f64 (*.f64 z #s(literal 2 binary64)))`
84.6%	2	`(*.f64 z #s(literal 2 binary64))`
87.4%	3	`t`
82.7%	1	`(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))))`
82.7%	1	`(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))`
82.7%	1	`(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)`
87.4%	3	`(/.f64 (*.f64 t t) #s(literal 2 binary64))`
87.4%	3	`(*.f64 t t)`
82.7%	1	`x`
82.7%	1	`y`
82.7%	1	`(*.f64 x #s(literal 1/2 binary64))`
82.7%	1	`(exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))`

Compiler

Compiled 60 to 88 computations (-46.7% saved)

regimes81.0ms (0.5%)

Memory

-27.6MiB live, 91.3MiB allocated

Counts

24 → 2

Calls

Call 1

Inputs
(.f64 #s(approx (- ( 1/2 x) y) (neg.f64 y)) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z))))
(.f64 #s(approx (- ( 1/2 x) y) (.f64 x #s(literal 1/2 binary64))) (sqrt.f64 #s(approx ( (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z))))
(.f64 (.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ ( t t) 2)) #s(literal 1 binary64)))
(.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z))))
(.f64 (.f64 #s(approx (- (* x 1/2) y) (.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
(.f64 #s(approx ( (- (* x 1/2) y) (sqrt (* z 2))) (.f64 (neg.f64 y) (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
(.f64 (.f64 (sqrt.f64 z) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (- ( x 1/2) y) (neg.f64 y)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
(.f64 (.f64 (.f64 #s(approx (- ( x 1/2) y) (neg.f64 y)) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (.f64 (.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)))
#s(approx (* (- (* 1/2 x) y) (sqrt (* (* 2 (pow (exp t) t)) z))) (.f64 (.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)))
(.f64 (.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ ( t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))))
(.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) #s(approx (sqrt (* (* 2 (pow (exp t) t)) z)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z))))
(.f64 #s(approx (- ( 1/2 x) y) (.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 y x)) x)) (sqrt.f64 #s(approx ( (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z))))
(.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (.f64 (fma.f64 (.f64 t t) z z) #s(literal 2 binary64)))))
(.f64 (.f64 #s(approx (- (* x 1/2) y) (.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))))
(.f64 #s(approx (- ( 1/2 x) y) (.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1 binary64)) y)) (sqrt.f64 #s(approx ( (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z))))
(.f64 (.f64 #s(approx (- (* x 1/2) y) (/.f64 (neg.f64 (.f64 y y)) y)) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
(.f64 (.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
(.f64 (.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))) (-.f64 (.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
(.f64 (.f64 #s(approx (- (* x 1/2) y) (.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 y x)) x)) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))))
(/.f64 (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (.f64 #s(literal 2 binary64) z))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) x) y)))
(.f64 (.f64 #s(approx (- (* x 1/2) y) (.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1 binary64)) y)) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))

Outputs

(*.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))

(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 (fma.f64 (*.f64 t t) z z) #s(literal 2 binary64)))))

Calls

6 calls:

35.0ms	t
12.0ms	z
10.0ms	(*.f64 t t)
8.0ms	(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
8.0ms	(*.f64 z #s(literal 2 binary64))

Results

Accuracy	Segments	Branch
84.6%	2	`z`
84.6%	2	`(sqrt.f64 (*.f64 z #s(literal 2 binary64)))`
84.6%	2	`(*.f64 z #s(literal 2 binary64))`
82.7%	1	`t`
82.7%	1	`(/.f64 (*.f64 t t) #s(literal 2 binary64))`
82.7%	1	`(*.f64 t t)`

Compiler

Compiled 17 to 33 computations (-94.1% saved)

regimes142.0ms (0.9%)

Memory

17.3MiB live, 195.3MiB allocated

Counts

19 → 1

Calls

Call 1

Inputs
(.f64 #s(approx (- ( 1/2 x) y) (neg.f64 y)) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z))))
(.f64 #s(approx (- ( 1/2 x) y) (.f64 x #s(literal 1/2 binary64))) (sqrt.f64 #s(approx ( (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z))))
(.f64 (.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ ( t t) 2)) #s(literal 1 binary64)))
(.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z))))
(.f64 (.f64 #s(approx (- (* x 1/2) y) (.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
(.f64 #s(approx ( (- (* x 1/2) y) (sqrt (* z 2))) (.f64 (neg.f64 y) (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
(.f64 (.f64 (sqrt.f64 z) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (- ( x 1/2) y) (neg.f64 y)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
(.f64 (.f64 (.f64 #s(approx (- ( x 1/2) y) (neg.f64 y)) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (.f64 (.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)))
#s(approx (* (- (* 1/2 x) y) (sqrt (* (* 2 (pow (exp t) t)) z))) (.f64 (.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)))
(.f64 (.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ ( t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))))
(.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) #s(approx (sqrt (* (* 2 (pow (exp t) t)) z)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z))))
(.f64 #s(approx (- ( 1/2 x) y) (.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 y x)) x)) (sqrt.f64 #s(approx ( (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z))))
(.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (.f64 (fma.f64 (.f64 t t) z z) #s(literal 2 binary64)))))
(.f64 (.f64 #s(approx (- (* x 1/2) y) (.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))))
(.f64 #s(approx (- ( 1/2 x) y) (.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1 binary64)) y)) (sqrt.f64 #s(approx ( (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z))))
(.f64 (.f64 #s(approx (- (* x 1/2) y) (/.f64 (neg.f64 (.f64 y y)) y)) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
(.f64 (.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))

Outputs
(.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (.f64 (fma.f64 (.f64 t t) z z) #s(literal 2 binary64)))))

Calls

13 calls:

40.0ms	(*.f64 t t)
21.0ms	(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
12.0ms	(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))))
7.0ms	(exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))
6.0ms	(*.f64 z #s(literal 2 binary64))

Results

Accuracy	Segments	Branch
80.1%	1	`x`
80.1%	1	`(*.f64 x #s(literal 1/2 binary64))`
80.1%	1	`(exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))`
80.1%	1	`y`
80.1%	1	`(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))`
80.1%	1	`(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)`
80.1%	1	`t`
80.1%	1	`(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))))`
80.1%	1	`(/.f64 (*.f64 t t) #s(literal 2 binary64))`
80.1%	1	`(*.f64 t t)`
80.1%	1	`z`
80.1%	1	`(sqrt.f64 (*.f64 z #s(literal 2 binary64)))`
80.1%	1	`(*.f64 z #s(literal 2 binary64))`

Compiler

Compiled 60 to 88 computations (-46.7% saved)

regimes84.0ms (0.5%)

Memory

6.2MiB live, 246.7MiB allocated

Counts

14 → 2

Calls

Call 1

Inputs
(.f64 #s(approx (- ( 1/2 x) y) (neg.f64 y)) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z))))
(.f64 #s(approx (- ( 1/2 x) y) (.f64 x #s(literal 1/2 binary64))) (sqrt.f64 #s(approx ( (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z))))
(.f64 (.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ ( t t) 2)) #s(literal 1 binary64)))
(.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z))))
(.f64 (.f64 #s(approx (- (* x 1/2) y) (.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
(.f64 #s(approx ( (- (* x 1/2) y) (sqrt (* z 2))) (.f64 (neg.f64 y) (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
(.f64 (.f64 (sqrt.f64 z) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (- ( x 1/2) y) (neg.f64 y)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
(.f64 (.f64 (.f64 #s(approx (- ( x 1/2) y) (neg.f64 y)) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (.f64 (.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)))
#s(approx (* (- (* 1/2 x) y) (sqrt (* (* 2 (pow (exp t) t)) z))) (.f64 (.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)))
(.f64 (.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ ( t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))))
(.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) #s(approx (sqrt (* (* 2 (pow (exp t) t)) z)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z))))
(.f64 #s(approx (- ( 1/2 x) y) (.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 y x)) x)) (sqrt.f64 #s(approx ( (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z))))

Outputs

(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z))))

(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))))

Calls

13 calls:

13.0ms	x
9.0ms	y
7.0ms	(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
7.0ms	(*.f64 x #s(literal 1/2 binary64))
7.0ms	t

Results

Accuracy	Segments	Branch
56.7%	3	`y`
54.3%	2	`(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))`
57.1%	4	`(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)`
66.8%	2	`(exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))`
66.8%	2	`t`
64.8%	3	`(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))))`
66.8%	2	`(/.f64 (*.f64 t t) #s(literal 2 binary64))`
66.8%	2	`(*.f64 t t)`
57.7%	3	`x`
51.9%	1	`z`
57.7%	3	`(*.f64 x #s(literal 1/2 binary64))`
51.9%	1	`(sqrt.f64 (*.f64 z #s(literal 2 binary64)))`
51.9%	1	`(*.f64 z #s(literal 2 binary64))`

Compiler

Compiled 60 to 88 computations (-46.7% saved)

regimes61.0ms (0.4%)

Memory

34.9MiB live, 144.8MiB allocated

Counts

11 → 1

Calls

Call 1

Inputs
(.f64 #s(approx (- ( 1/2 x) y) (neg.f64 y)) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z))))
(.f64 #s(approx (- ( 1/2 x) y) (.f64 x #s(literal 1/2 binary64))) (sqrt.f64 #s(approx ( (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z))))
(.f64 (.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ ( t t) 2)) #s(literal 1 binary64)))
(.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z))))
(.f64 (.f64 #s(approx (- (* x 1/2) y) (.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
(.f64 #s(approx ( (- (* x 1/2) y) (sqrt (* z 2))) (.f64 (neg.f64 y) (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
(.f64 (.f64 (sqrt.f64 z) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (- ( x 1/2) y) (neg.f64 y)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
(.f64 (.f64 (.f64 #s(approx (- ( x 1/2) y) (neg.f64 y)) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (.f64 (.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)))
#s(approx (* (- (* 1/2 x) y) (sqrt (* (* 2 (pow (exp t) t)) z))) (.f64 (.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)))

Outputs
(.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z))))

Calls

13 calls:

8.0ms	(*.f64 z #s(literal 2 binary64))
6.0ms	y
5.0ms	(exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))
4.0ms	(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
4.0ms	(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)

Results

Accuracy	Segments	Branch
51.9%	1	`z`
51.9%	1	`(sqrt.f64 (*.f64 z #s(literal 2 binary64)))`
51.9%	1	`(*.f64 z #s(literal 2 binary64))`
51.9%	1	`(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)`
51.9%	1	`(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))`
51.9%	1	`y`
51.9%	1	`x`
51.9%	1	`(*.f64 x #s(literal 1/2 binary64))`
51.9%	1	`(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))))`
51.9%	1	`(exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))`
51.9%	1	`t`
51.9%	1	`(/.f64 (*.f64 t t) #s(literal 2 binary64))`
51.9%	1	`(*.f64 t t)`

Compiler

Compiled 60 to 88 computations (-46.7% saved)

regimes45.0ms (0.3%)

Memory

-81.8MiB live, 94.9MiB allocated

Counts

3 → 3

Calls

Call 1

Inputs

(*.f64 #s(approx (- (* 1/2 x) y) (neg.f64 y)) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z))))

(*.f64 #s(approx (- (* 1/2 x) y) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z))))

(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))

Outputs

(*.f64 #s(approx (- (* 1/2 x) y) (neg.f64 y)) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z))))

(*.f64 #s(approx (- (* 1/2 x) y) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z))))

(*.f64 #s(approx (- (* 1/2 x) y) (neg.f64 y)) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z))))

Calls

13 calls:

18.0ms	(*.f64 z #s(literal 2 binary64))
3.0ms	(exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))
3.0ms	y
2.0ms	(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
2.0ms	(sqrt.f64 (*.f64 z #s(literal 2 binary64)))

Results

Accuracy	Segments	Branch
41.6%	3	`y`
30.9%	2	`(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)`
33.6%	4	`t`
31.4%	2	`(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))))`
31.4%	2	`(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))`
27.5%	1	`(exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))`
30.7%	3	`(/.f64 (*.f64 t t) #s(literal 2 binary64))`
30.7%	3	`(*.f64 t t)`
40.1%	3	`x`
40.1%	3	`(*.f64 x #s(literal 1/2 binary64))`
32.1%	3	`z`
32.1%	3	`(sqrt.f64 (*.f64 z #s(literal 2 binary64)))`
32.1%	3	`(*.f64 z #s(literal 2 binary64))`

Compiler

Compiled 60 to 88 computations (-46.7% saved)

regimes19.0ms (0.1%)

Memory

33.2MiB live, 72.9MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
(.f64 #s(approx (- ( 1/2 x) y) (neg.f64 y)) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z))))

Outputs
(.f64 #s(approx (- ( 1/2 x) y) (neg.f64 y)) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z))))

Calls

13 calls:

2.0ms	(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
1.0ms	(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
1.0ms	(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
1.0ms	(*.f64 x #s(literal 1/2 binary64))
1.0ms	(*.f64 z #s(literal 2 binary64))

Results

Accuracy	Segments	Branch
27.5%	1	`(exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))`
27.5%	1	`(/.f64 (*.f64 t t) #s(literal 2 binary64))`
27.5%	1	`(*.f64 t t)`
27.5%	1	`t`
27.5%	1	`z`
27.5%	1	`(sqrt.f64 (*.f64 z #s(literal 2 binary64)))`
27.5%	1	`(*.f64 z #s(literal 2 binary64))`
27.5%	1	`(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)`
27.5%	1	`(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))`
27.5%	1	`(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))))`
27.5%	1	`x`
27.5%	1	`(*.f64 x #s(literal 1/2 binary64))`
27.5%	1	`y`

Compiler

Compiled 60 to 88 computations (-46.7% saved)

bsearch1.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	6.679264771942849e+274	2.584991324986602e+278
0.0ms	4.344770099687322e+79	8.872888909396698e+79

Compiler

Compiled 20 to 22 computations (-10% saved)

bsearch1.0ms (0%)

Memory

-41.1MiB live, 0.8MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	2.2609498641298132e+173	8.455871713149547e+174

Compiler

Compiled 20 to 23 computations (-15% saved)

bsearch19.0ms (0.1%)

Memory

25.4MiB live, 25.4MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
17.0ms	2.095829073892168e+135	5.36082915870277e+142

Samples

11.0ms

144×

valid

Compiler

Compiled 245 to 283 computations (-15.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 7.0ms

ival-mult: 3.0ms (42.7% of total)

ival-sub: 1.0ms (14.2% of total)

ival-div: 1.0ms (14.2% of total)

ival-exp: 1.0ms (14.2% of total)

ival-sqrt: 1.0ms (14.2% of total)

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

bsearch60.0ms (0.4%)

Memory

-14.6MiB live, 63.8MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
30.0ms	6.322134562041839e-85	3.65525475412645e-77
25.0ms	-3.4624916926026815e+47	-1.2693970857898293e+41

Samples

44.0ms

288×

valid

Compiler

Compiled 362 to 472 computations (-30.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 24.0ms

ival-mult: 16.0ms (67.4% of total)

ival-div: 2.0ms (8.4% of total)

ival-exp: 2.0ms (8.4% of total)

ival-sqrt: 2.0ms (8.4% of total)

ival-sub: 1.0ms (4.2% of total)

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

simplify30.0ms (0.2%)

Memory

7.9MiB live, 44.7MiB allocated

Algorithm

1×	egg-herbie

Rules

50×	`-commutative-binary64-.f64`
6×	`+-commutative-binary64-+.f64`
6×	`sub-neg-binary64-neg.f64-+.f64--.f64`
2×	`1-exp-binary32-exp.f32`
2×	`1-exp-binary64-exp.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	94	435
1	130	435
2	133	435
3	134	435

Stop Event

1×

saturated

Calls

Call 1

Inputs
(.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 t) t)) z)))
(.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) (pow.f64 #s(approx (exp t) (+.f64 #s(literal 1 binary64) t)) t)) z)))
(.f64 (.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 t t) #s(literal 1/8 binary64)) (.f64 t t) #s(literal 1/2 binary64)) (.f64 t t) #s(literal 1 binary64))) (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y))) (sqrt.f64 (.f64 z #s(literal 2 binary64))))
(.f64 (.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 t t) #s(literal 1/2 binary64)) t) t #s(literal 1 binary64))) (-.f64 (.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (.f64 z #s(literal 2 binary64))))
(if (<=.f64 (.f64 t t) #s(literal 50000000000000000013304932354183638268701200590600404549065988726744879458156544 binary64)) (.f64 (.f64 #s(approx (exp (/ ( t t) 2)) (fma.f64 (.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))) (-.f64 (.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (if (<=.f64 (.f64 t t) #s(literal 99999999999999995981677400789769932612359931733321583285118877944076548466448094957909476304960015890806678857380756006307062602577317320133875536163700284518967198097453618232695975663570046546450378657742479671982722077174989256760731188933351130765773907040474247261585408 binary64)) (.f64 (.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 t t) #s(literal 1/2 binary64)) t) t #s(literal 1 binary64))) #s(approx (- (* x 1/2) y) (neg.f64 y))) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 #s(approx ( (* 2 (pow (exp t) t)) z) (.f64 (fma.f64 (.f64 t t) z z) #s(literal 2 binary64)))))))
(if (<=.f64 (.f64 z #s(literal 2 binary64)) #s(literal 400000000000000005615674502319882087129847882280516544375320171780085218194600432432736532974262747378449143055112407624771957107452558759491071088337686758867042422732357632 binary64)) (.f64 (.f64 #s(approx (exp (/ ( t t) 2)) (fma.f64 (.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))) (-.f64 (.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 #s(approx ( (* 2 (pow (exp t) t)) z) (.f64 (fma.f64 (.f64 t t) z z) #s(literal 2 binary64))))))
(.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (.f64 (fma.f64 (.f64 t t) z z) #s(literal 2 binary64)))))
(if (<=.f64 (.f64 t t) #s(literal 40999999999999997628064237612253600133943907536406980481228508802526768806700834398771478236485503653352620972758742591024020475246280704 binary64)) (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 #s(approx ( (* 2 (pow (exp t) t)) z) (.f64 #s(literal 2 binary64) z)))) (.f64 (.f64 #s(approx (- ( x 1/2) y) (neg.f64 y)) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ ( t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)))))
(.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z))))
(if (<=.f64 y #s(literal -15000000000000000828028195081811286145630208 binary64)) (.f64 #s(approx (- ( 1/2 x) y) (neg.f64 y)) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (.f64 #s(literal 2 binary64) z)))) (if (<=.f64 y #s(literal 3650368469591399/130370302485407109521180524058200202307293977194619920040712988758680403184853549195737432064 binary64)) (.f64 #s(approx (- (* 1/2 x) y) (.f64 x #s(literal 1/2 binary64))) (sqrt.f64 #s(approx ( (* 2 (pow (exp t) t)) z) (.f64 #s(literal 2 binary64) z)))) (.f64 #s(approx (- (* 1/2 x) y) (neg.f64 y)) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z))))))
(.f64 #s(approx (- ( 1/2 x) y) (neg.f64 y)) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z))))

Outputs
(.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 t) t)) z)))
(.f64 (sqrt.f64 (.f64 z (.f64 (pow.f64 (exp.f64 t) t) #s(literal 2 binary64)))) (-.f64 (.f64 x #s(literal 1/2 binary64)) y))
(.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) (pow.f64 #s(approx (exp t) (+.f64 #s(literal 1 binary64) t)) t)) z)))
(.f64 (sqrt.f64 (.f64 (.f64 (pow.f64 #s(approx (exp t) (+.f64 #s(literal 1 binary64) t)) t) #s(literal 2 binary64)) z)) (-.f64 (.f64 x #s(literal 1/2 binary64)) y))
(.f64 (.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 t t) #s(literal 1/8 binary64)) (.f64 t t) #s(literal 1/2 binary64)) (.f64 t t) #s(literal 1 binary64))) (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y))) (sqrt.f64 (.f64 z #s(literal 2 binary64))))
(.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) #s(approx (exp (/ ( t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 t t) #s(literal 1/8 binary64)) (.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))))
(.f64 (.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 t t) #s(literal 1/2 binary64)) t) t #s(literal 1 binary64))) (-.f64 (.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (.f64 z #s(literal 2 binary64))))
(if (<=.f64 (.f64 t t) #s(literal 50000000000000000013304932354183638268701200590600404549065988726744879458156544 binary64)) (.f64 (.f64 #s(approx (exp (/ ( t t) 2)) (fma.f64 (.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))) (-.f64 (.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (if (<=.f64 (.f64 t t) #s(literal 99999999999999995981677400789769932612359931733321583285118877944076548466448094957909476304960015890806678857380756006307062602577317320133875536163700284518967198097453618232695975663570046546450378657742479671982722077174989256760731188933351130765773907040474247261585408 binary64)) (.f64 (.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 t t) #s(literal 1/2 binary64)) t) t #s(literal 1 binary64))) #s(approx (- (* x 1/2) y) (neg.f64 y))) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 #s(approx ( (* 2 (pow (exp t) t)) z) (.f64 (fma.f64 (.f64 t t) z z) #s(literal 2 binary64)))))))
(if (<=.f64 (.f64 t t) #s(literal 50000000000000000013304932354183638268701200590600404549065988726744879458156544 binary64)) (.f64 (.f64 #s(approx (exp (/ ( t t) 2)) (fma.f64 (.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))) (-.f64 (.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (if (<=.f64 (.f64 t t) #s(literal 99999999999999995981677400789769932612359931733321583285118877944076548466448094957909476304960015890806678857380756006307062602577317320133875536163700284518967198097453618232695975663570046546450378657742479671982722077174989256760731188933351130765773907040474247261585408 binary64)) (.f64 (.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) #s(approx (exp (/ (* t t) 2)) (fma.f64 (.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 t t) #s(literal 1/2 binary64)) t) t #s(literal 1 binary64)))) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (.f64 (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (.f64 (fma.f64 (.f64 t t) z z) #s(literal 2 binary64)))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y))))
(if (<=.f64 (.f64 z #s(literal 2 binary64)) #s(literal 400000000000000005615674502319882087129847882280516544375320171780085218194600432432736532974262747378449143055112407624771957107452558759491071088337686758867042422732357632 binary64)) (.f64 (.f64 #s(approx (exp (/ ( t t) 2)) (fma.f64 (.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))) (-.f64 (.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 #s(approx ( (* 2 (pow (exp t) t)) z) (.f64 (fma.f64 (.f64 t t) z z) #s(literal 2 binary64))))))
(if (<=.f64 (.f64 z #s(literal 2 binary64)) #s(literal 400000000000000005615674502319882087129847882280516544375320171780085218194600432432736532974262747378449143055112407624771957107452558759491071088337686758867042422732357632 binary64)) (.f64 (.f64 #s(approx (exp (/ ( t t) 2)) (fma.f64 (.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))) (-.f64 (.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (.f64 (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (.f64 (fma.f64 (.f64 t t) z z) #s(literal 2 binary64)))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
(.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (.f64 (fma.f64 (.f64 t t) z z) #s(literal 2 binary64)))))
(.f64 (sqrt.f64 #s(approx ( (* 2 (pow (exp t) t)) z) (.f64 (fma.f64 (.f64 t t) z z) #s(literal 2 binary64)))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y))
(if (<=.f64 (.f64 t t) #s(literal 40999999999999997628064237612253600133943907536406980481228508802526768806700834398771478236485503653352620972758742591024020475246280704 binary64)) (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 #s(approx ( (* 2 (pow (exp t) t)) z) (.f64 #s(literal 2 binary64) z)))) (.f64 (.f64 #s(approx (- ( x 1/2) y) (neg.f64 y)) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ ( t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)))))
(if (<=.f64 (.f64 t t) #s(literal 40999999999999997628064237612253600133943907536406980481228508802526768806700834398771478236485503653352620972758742591024020475246280704 binary64)) (.f64 (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (.f64 z #s(literal 2 binary64)))) (-.f64 (.f64 x #s(literal 1/2 binary64)) y)) (.f64 (.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ ( t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)))))
(.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z))))
(.f64 (sqrt.f64 #s(approx ( (* 2 (pow (exp t) t)) z) (.f64 z #s(literal 2 binary64)))) (-.f64 (.f64 x #s(literal 1/2 binary64)) y))
(if (<=.f64 y #s(literal -15000000000000000828028195081811286145630208 binary64)) (.f64 #s(approx (- ( 1/2 x) y) (neg.f64 y)) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (.f64 #s(literal 2 binary64) z)))) (if (<=.f64 y #s(literal 3650368469591399/130370302485407109521180524058200202307293977194619920040712988758680403184853549195737432064 binary64)) (.f64 #s(approx (- (* 1/2 x) y) (.f64 x #s(literal 1/2 binary64))) (sqrt.f64 #s(approx ( (* 2 (pow (exp t) t)) z) (.f64 #s(literal 2 binary64) z)))) (.f64 #s(approx (- (* 1/2 x) y) (neg.f64 y)) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z))))))
(if (<=.f64 y #s(literal -15000000000000000828028195081811286145630208 binary64)) (.f64 #s(approx (- ( 1/2 x) y) (neg.f64 y)) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (.f64 z #s(literal 2 binary64))))) (if (<=.f64 y #s(literal 3650368469591399/130370302485407109521180524058200202307293977194619920040712988758680403184853549195737432064 binary64)) (.f64 #s(approx (- (* 1/2 x) y) (.f64 x #s(literal 1/2 binary64))) (sqrt.f64 #s(approx ( (* 2 (pow (exp t) t)) z) (.f64 z #s(literal 2 binary64))))) (.f64 #s(approx (- (* 1/2 x) y) (neg.f64 y)) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 z #s(literal 2 binary64)))))))
(.f64 #s(approx (- ( 1/2 x) y) (neg.f64 y)) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z))))
(.f64 #s(approx (- ( 1/2 x) y) (neg.f64 y)) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 z #s(literal 2 binary64)))))

soundness4.6s (28.3%)

Memory

31.0MiB live, 1 143.6MiB allocated

Rules

18 902×	`lower-fma.f64`
18 902×	`lower-fma.f32`
14 044×	`lower-fma.f64`
14 044×	`lower-fma.f32`
13 478×	`lower-fma.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	54	275
0	93	250
1	257	250
2	1249	250
0	8460	250
0	335	9600
1	1145	9394
2	4007	8473
3	7514	8473
0	8026	8369
0	292	9575
1	998	9399
2	3521	8467
3	6711	8467
0	8016	8371
0	50	313
0	85	303
1	259	303
2	1384	303
0	8497	303
0	333	10162
1	1128	9938
2	4086	9042
3	7874	9042
0	8168	8924
0	15	46
0	24	44
1	63	43
2	285	43
3	2343	43
0	8617	43
0	133	1631
1	446	1628
2	1554	1535
3	4441	1532
0	8859	1520

Stop Event

1×	fuel
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit
1×	iter limit
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit
1×	iter limit
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit
1×	iter limit

Compiler

Compiled 1 065 to 681 computations (36.1% saved)

preprocess91.0ms (0.6%)

Memory: -20.8MiB live, 253.7MiB allocated
Remove: (abs t)
Compiler: Compiled 872 to 420 computations (51.8% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze302.0ms (1.9%)

sample2.5s (15.6%)

explain221.0ms (1.4%)

preprocess117.0ms (0.7%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify75.0ms (0.5%)

localize112.0ms (0.7%)

series108.0ms (0.7%)

simplify220.0ms (1.4%)

rewrite403.0ms (2.5%)

eval83.0ms (0.5%)

prune67.0ms (0.4%)

simplify131.0ms (0.8%)

localize189.0ms (1.2%)

series278.0ms (1.7%)

simplify256.0ms (1.6%)

rewrite186.0ms (1.2%)

eval466.0ms (2.9%)

prune82.0ms (0.5%)

simplify222.0ms (1.4%)

localize191.0ms (1.2%)

series103.0ms (0.6%)

simplify359.0ms (2.2%)

rewrite351.0ms (2.2%)

eval192.0ms (1.2%)

prune146.0ms (0.9%)

simplify113.0ms (0.7%)

localize156.0ms (1%)

series124.0ms (0.8%)

simplify280.0ms (1.7%)

rewrite383.0ms (2.4%)

eval259.0ms (1.6%)

prune331.0ms (2.1%)

regimes650.0ms (4%)

regimes348.0ms (2.2%)

regimes449.0ms (2.8%)

regimes220.0ms (1.4%)

regimes194.0ms (1.2%)

regimes81.0ms (0.5%)

regimes142.0ms (0.9%)

regimes84.0ms (0.5%)

regimes61.0ms (0.4%)

regimes45.0ms (0.3%)

regimes19.0ms (0.1%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch19.0ms (0.1%)

bsearch60.0ms (0.4%)

simplify30.0ms (0.2%)

soundness4.6s (28.3%)

preprocess91.0ms (0.6%)

end0.0ms (0%)

Profiling